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   "source": [
    "# Generative Adversarial Networks (GANs)\n",
    "到目前为止，在CS231N中，我们已经探索过的所有神经网络应用都是**判别模型**，它接受输入并训练生成标记输出。从简单的图像分类到句子生成(这仍然是一个分类问题，我们的标签在词汇空间中，我们学习了一个递归式来捕获多词标签)。在这个笔记本中，我们将扩展我们的repetoire算法，并使用神经网络构建生成模型。具体来说，我们将学习如何建立模型，产生新的即时通讯\n",
    "### What is a GAN?\n",
    "\n",
    "In 2014, [Goodfellow et al.](https://arxiv.org/abs/1406.2661) presented a method for training generative models called Generative Adversarial Networks (GANs for short). In a GAN, we build two different neural networks. Our first network is a traditional classification network, called the **discriminator**. We will train the discriminator to take images, and classify them as being real (belonging to the training set) or fake (not present in the training set). Our other network, called the **generator**, will take random noise as input and transform it using a neural network to produce images. The goal of the generator is to fool the discriminator into thinking the images it produced are real.\n",
    "\n",
    "We can think of this back and forth process of the generator ($G$) trying to fool the discriminator ($D$), and the discriminator trying to correctly classify real vs. fake as a minimax game:\n",
    "$$\\underset{G}{\\text{minimize}}\\; \\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "where $z \\sim p(z)$ are the random noise samples, $G(z)$ are the generated images using the neural network generator $G$, and $D$ is the output of the discriminator, specifying the probability of an input being real. In [Goodfellow et al.](https://arxiv.org/abs/1406.2661), they analyze this minimax game and show how it relates to minimizing the Jensen-Shannon divergence between the training data distribution and the generated samples from $G$.\n",
    "\n",
    "To optimize this minimax game, we will aternate between taking gradient *descent* steps on the objective for $G$, and gradient *ascent* steps on the objective for $D$:\n",
    "1. update the **generator** ($G$) to minimize the probability of the __discriminator making the correct choice__. \n",
    "2. update the **discriminator** ($D$) to maximize the probability of the __discriminator making the correct choice__.\n",
    "\n",
    "While these updates are useful for analysis, they do not perform well in practice. Instead, we will use a different objective when we update the generator: maximize the probability of the **discriminator making the incorrect choice**. This small change helps to allevaiate problems with the generator gradient vanishing when the discriminator is confident. This is the standard update used in most GAN papers, and was used in the original paper from [Goodfellow et al.](https://arxiv.org/abs/1406.2661). \n",
    "\n",
    "In this assignment, we will alternate the following updates:\n",
    "1. Update the generator ($G$) to maximize the probability of the discriminator making the incorrect choice on generated data:\n",
    "$$\\underset{G}{\\text{maximize}}\\;  \\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "2. Update the discriminator ($D$), to maximize the probability of the discriminator making the correct choice on real and generated data:\n",
    "$$\\underset{D}{\\text{maximize}}\\; \\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] + \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "\n",
    "### What else is there?\n",
    "Since 2014, GANs have exploded into a huge research area, with massive [workshops](https://sites.google.com/site/nips2016adversarial/), and [hundreds of new papers](https://github.com/hindupuravinash/the-gan-zoo). Compared to other approaches for generative models, they often produce the highest quality samples but are some of the most difficult and finicky models to train (see [this github repo](https://github.com/soumith/ganhacks) that contains a set of 17 hacks that are useful for getting models working). Improving the stabiilty and robustness of GAN training is an open research question, with new papers coming out every day! For a more recent tutorial on GANs, see [here](https://arxiv.org/abs/1701.00160). There is also some even more recent exciting work that changes the objective function to Wasserstein distance and yields much more stable results across model architectures: [WGAN](https://arxiv.org/abs/1701.07875), [WGAN-GP](https://arxiv.org/abs/1704.00028).\n",
    "\n",
    "\n",
    "GANs are not the only way to train a generative model! For other approaches to generative modeling check out the [deep generative model chapter](http://www.deeplearningbook.org/contents/generative_models.html) of the Deep Learning [book](http://www.deeplearningbook.org). Another popular way of training neural networks as generative models is Variational Autoencoders (co-discovered [here](https://arxiv.org/abs/1312.6114) and [here](https://arxiv.org/abs/1401.4082)). Variatonal autoencoders combine neural networks with variationl inference to train deep generative models. These models tend to be far more stable and easier to train but currently don't produce samples that are as pretty as GANs.\n",
    "\n",
    "Here's an example of what your outputs from the 3 different models you're going to train should look like... note that GANs are sometimes finicky, so your outputs might not look exactly like this... this is just meant to be a *rough* guideline of the kind of quality you can expect:\n",
    "\n",
    "![caption](gan_outputs_pytorch.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:38:12.404911Z",
     "start_time": "2020-02-26T12:38:12.374012Z"
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torch.nn import init\n",
    "from torch.autograd import Variable\n",
    "import torchvision\n",
    "import torchvision.transforms as T\n",
    "import torch.optim as optim\n",
    "from torch.utils.data import DataLoader\n",
    "from torch.utils.data import sampler\n",
    "import torchvision.datasets as dset\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gridspec\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (10.0, 8.0) # set default size of plots\n",
    "plt.rcParams['image.interpolation'] = 'nearest'\n",
    "plt.rcParams['image.cmap'] = 'gray'\n",
    "\n",
    "def show_images(images):\n",
    "    images = np.reshape(images, [images.shape[0], -1])  # images reshape to (batch_size, D)\n",
    "    sqrtn = int(np.ceil(np.sqrt(images.shape[0])))\n",
    "    sqrtimg = int(np.ceil(np.sqrt(images.shape[1])))\n",
    "\n",
    "    fig = plt.figure(figsize=(sqrtn, sqrtn))\n",
    "    gs = gridspec.GridSpec(sqrtn, sqrtn)\n",
    "    gs.update(wspace=0.05, hspace=0.05)\n",
    "\n",
    "    for i, img in enumerate(images):\n",
    "        ax = plt.subplot(gs[i])\n",
    "        plt.axis('off')\n",
    "        ax.set_xticklabels([])\n",
    "        ax.set_yticklabels([])\n",
    "        ax.set_aspect('equal')\n",
    "        plt.imshow(img.reshape([sqrtimg,sqrtimg]))\n",
    "    return \n",
    "\n",
    "def preprocess_img(x):\n",
    "    return 2 * x - 1.0\n",
    "\n",
    "def deprocess_img(x):\n",
    "    return (x + 1.0) / 2.0\n",
    "\n",
    "def rel_error(x,y):\n",
    "    return np.max(np.abs(x - y) / (np.maximum(1e-8, np.abs(x) + np.abs(y))))\n",
    "\n",
    "def count_params(model):\n",
    "    \"\"\"Count the number of parameters in the current TensorFlow graph \"\"\"\n",
    "    param_count = np.sum([np.prod(p.size()) for p in model.parameters()])\n",
    "    return param_count\n",
    "\n",
    "answers = np.load('gan-checks-tf.npz')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dataset\n",
    "GANs是出了名的讲究超参数，也需要很多的训练时间。为了让这项任务在没有GPU的情况下也可以完成，我们将使用MNIST数据集，它包含6万张训练图和1万张测试图。每张图片都包含一幅以白色数字为中心的图像，背景为黑色(0到9)。这是第一批用于训练卷积神经网络的数据集之一，非常简单——一个标准的CNN模型可以轻松地超过99%的准确率。\n",
    "\n",
    "为了简化这里的代码，我们将使用PyTorch MNIST包装器，它下载并加载MNIST数据集\n",
    "\n",
    "See the [documentation](https://github.com/pytorch/vision/blob/master/torchvision/datasets/mnist.py) for more information about the interface. The default parameters will take 5,000 of the training examples and place them into a validation dataset. The data will be saved into a folder called `MNIST_data`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:38:18.398348Z",
     "start_time": "2020-02-26T12:38:14.393081Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 864x864 with 128 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "class ChunkSampler(sampler.Sampler):\n",
    "    \"\"\"Samples elements sequentially from some offset. \n",
    "    Arguments:\n",
    "        num_samples: # of desired datapoints\n",
    "        start: offset where we should start selecting from\n",
    "    \"\"\"\n",
    "    def __init__(self, num_samples, start=0):\n",
    "        self.num_samples = num_samples\n",
    "        self.start = start\n",
    "\n",
    "    def __iter__(self):\n",
    "        return iter(range(self.start, self.start + self.num_samples))\n",
    "\n",
    "    def __len__(self):\n",
    "        return self.num_samples\n",
    "\n",
    "NUM_TRAIN = 50000\n",
    "NUM_VAL = 5000\n",
    "\n",
    "NOISE_DIM = 96\n",
    "batch_size = 128\n",
    "\n",
    "mnist_train = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_train = DataLoader(mnist_train, batch_size=batch_size,\n",
    "                          sampler=ChunkSampler(NUM_TRAIN, 0))\n",
    "\n",
    "mnist_val = dset.MNIST('./cs231n/datasets/MNIST_data', train=True, download=True,\n",
    "                           transform=T.ToTensor())\n",
    "loader_val = DataLoader(mnist_val, batch_size=batch_size,\n",
    "                        sampler=ChunkSampler(NUM_VAL, NUM_TRAIN))\n",
    "\n",
    "\n",
    "imgs = loader_train.__iter__().next()[0].view(batch_size, 784).numpy().squeeze()\n",
    "show_images(imgs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 随机噪声\n",
    "使用形状' [batch_size, dim] '从-1到1生成均匀的噪声。\n",
    "\n",
    "Hint: use `torch.rand`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:39:30.188837Z",
     "start_time": "2020-02-26T12:39:30.183851Z"
    }
   },
   "outputs": [],
   "source": [
    "def sample_noise(batch_size, dim):\n",
    "    \"\"\"\n",
    "    Generate a PyTorch Tensor of uniform random noise.\n",
    "\n",
    "    Input:\n",
    "    - batch_size: Integer giving the batch size of noise to generate.\n",
    "    - dim: Integer giving the dimension of noise to generate.\n",
    "    \n",
    "    Output:\n",
    "    - A PyTorch Tensor of shape (batch_size, dim) containing uniform\n",
    "      random noise in the range (-1, 1).\n",
    "    \"\"\"\n",
    "    return torch.rand((batch_size,dim))*2-1\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "确保噪音是正确的形状和类型:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:39:47.360446Z",
     "start_time": "2020-02-26T12:39:47.350501Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "All tests passed!\n"
     ]
    }
   ],
   "source": [
    "def test_sample_noise():\n",
    "    batch_size = 3\n",
    "    dim = 4\n",
    "    torch.manual_seed(231)\n",
    "    z = sample_noise(batch_size, dim)\n",
    "    np_z = z.cpu().numpy()\n",
    "    assert np_z.shape == (batch_size, dim)\n",
    "    assert torch.is_tensor(z)\n",
    "    assert np.all(np_z >= -1.0) and np.all(np_z <= 1.0)\n",
    "    assert np.any(np_z < 0.0) and np.any(np_z > 0.0)\n",
    "    print('All tests passed!')\n",
    "    \n",
    "test_sample_noise()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Flatten\n",
    "回想一下我们以前的笔记本电脑中的Flatten操作…这一次我们还提供了一个Unflatten，您可能希望在实现卷积生成器时使用它。我们还提供了一个使用Xavier初始化而不是PyTorch的统一默认值的权值初始化器(并为您调用它)。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:43:27.317867Z",
     "start_time": "2020-02-26T12:43:27.308902Z"
    }
   },
   "outputs": [],
   "source": [
    "class Flatten(nn.Module):\n",
    "    def forward(self, x):\n",
    "        N, C, H, W = x.size() # read in N, C, H, W\n",
    "        return x.view(N, -1)  # \"flatten\" the C * H * W values into a single vector per image\n",
    "    \n",
    "class Unflatten(nn.Module):\n",
    "    \"\"\"\n",
    "    An Unflatten module receives an input of shape (N, C*H*W) and reshapes it\n",
    "    to produce an output of shape (N, C, H, W).\n",
    "    \"\"\"\n",
    "    def __init__(self, N=-1, C=128, H=7, W=7):\n",
    "        super(Unflatten, self).__init__()\n",
    "        self.N = N\n",
    "        self.C = C\n",
    "        self.H = H\n",
    "        self.W = W\n",
    "    def forward(self, x):\n",
    "        return x.view(self.N, self.C, self.H, self.W)\n",
    "\n",
    "def initialize_weights(m):\n",
    "    if isinstance(m, nn.Linear) or isinstance(m, nn.ConvTranspose2d):\n",
    "        init.xavier_uniform(m.weight.data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CPU / GPU\n",
    "By default all code will run on CPU. GPUs are not needed for this assignment, but will help you to train your models faster. If you do want to run the code on a GPU, then change the `dtype` variable in the following cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:44:05.992877Z",
     "start_time": "2020-02-26T12:44:05.988880Z"
    }
   },
   "outputs": [],
   "source": [
    "# dtype = torch.FloatTensor\n",
    "dtype = torch.cuda.FloatTensor ## UNCOMMENT THIS LINE IF YOU'RE ON A GPU!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 判别器\n",
    "我们的第一步是建立一个鉴别器。作为“nn”的一部分填充架构。下面函数中的顺序构造函数。所有完全连接的层应该包括偏置项。架构是:\n",
    "* 全连接层从784到256\n",
    "* LeakyReLu为0.01\n",
    "* 完全连接层从256到256\n",
    "* LeakyReLu为0.01\n",
    "* 完全连接层从256到1\n",
    " \n",
    "Recall that the Leaky ReLU nonlinearity computes $f(x) = \\max(\\alpha x, x)$ for some fixed constant $\\alpha$; for the LeakyReLU nonlinearities in the architecture above we set $\\alpha=0.01$.\n",
    " \n",
    "The output of the discriminator should have shape `[batch_size, 1]`, and contain real numbers corresponding to the scores that each of the `batch_size` inputs is a real image."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:49:45.367894Z",
     "start_time": "2020-02-26T12:49:45.361910Z"
    }
   },
   "outputs": [],
   "source": [
    "def discriminator():\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the architecture above.\n",
    "    \"\"\"\n",
    "    model = nn.Sequential(\n",
    "        nn.Flatten(),\n",
    "        nn.Linear(784,256),\n",
    "        nn.LeakyReLU(0.01),\n",
    "        nn.Linear(256,256),\n",
    "        nn.LeakyReLU(0.01),\n",
    "        nn.Linear(256,1)   \n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "确认鉴别器参数数量正确的测试:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:49:59.286211Z",
     "start_time": "2020-02-26T12:49:59.277233Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in discriminator.\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator(true_count=267009):\n",
    "    model = discriminator()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in discriminator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in discriminator.')     \n",
    "\n",
    "test_discriminator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 生成器\n",
    "现在建设生成器网络:\n",
    "* 全连接层，从noise - dim到1024\n",
    "* ReLU\n",
    "* 大小为1024的全连接层\n",
    "* ReLU\n",
    "* 大小为784的全连接层\n",
    "* 双曲正切\n",
    " * 剪切图像为[-1,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:52:23.699391Z",
     "start_time": "2020-02-26T12:52:23.694388Z"
    }
   },
   "outputs": [],
   "source": [
    "def generator(noise_dim=NOISE_DIM):\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the architecture above.\n",
    "    \"\"\"\n",
    "    model = nn.Sequential(\n",
    "        nn.Linear(noise_dim,1024),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(1024,1024),\n",
    "        nn.ReLU(),\n",
    "        nn.Linear(1024,784),\n",
    "        nn.Tanh()\n",
    "    )\n",
    "    return model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "确认生成器参数数量正确的测试:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T12:53:06.320670Z",
     "start_time": "2020-02-26T12:53:06.298736Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_generator(true_count=1858320):\n",
    "    model = generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_generator()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GAN Loss\n",
    "\n",
    "Compute the generator and discriminator loss. The generator loss is:\n",
    "$$\\ell_G  =  -\\mathbb{E}_{z \\sim p(z)}\\left[\\log D(G(z))\\right]$$\n",
    "and the discriminator loss is:\n",
    "$$ \\ell_D = -\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\log D(x)\\right] - \\mathbb{E}_{z \\sim p(z)}\\left[\\log \\left(1-D(G(z))\\right)\\right]$$\n",
    "Note that these are negated from the equations presented earlier as we will be *minimizing* these losses.\n",
    "\n",
    "**HINTS**: You should use the `bce_loss` function defined below to compute the binary cross entropy loss which is needed to compute the log probability of the true label given the logits output from the discriminator. Given a score $s\\in\\mathbb{R}$ and a label $y\\in\\{0, 1\\}$, the binary cross entropy loss is\n",
    "\n",
    "$$ bce(s, y) = y * \\log(s) + (1 - y) * \\log(1 - s) $$\n",
    "\n",
    "A naive implementation of this formula can be numerically unstable, so we have provided a numerically stable implementation for you below.\n",
    "\n",
    "You will also need to compute labels corresponding to real or fake and use the logit arguments to determine their size. Make sure you cast these labels to the correct data type using the global `dtype` variable, for example:\n",
    "\n",
    "\n",
    "`true_labels = Variable(torch.ones(size)).type(dtype)`\n",
    "\n",
    "Instead of computing the expectation, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:04:58.602347Z",
     "start_time": "2020-02-26T13:04:58.594369Z"
    }
   },
   "outputs": [],
   "source": [
    "def bce_loss(input, target):\n",
    "    \"\"\"\n",
    "    Numerically stable version of the binary cross-entropy loss function.\n",
    "\n",
    "    As per https://github.com/pytorch/pytorch/issues/751\n",
    "    See the TensorFlow docs for a derivation of this formula:\n",
    "    https://www.tensorflow.org/api_docs/python/tf/nn/sigmoid_cross_entropy_with_logits\n",
    "\n",
    "    Inputs:\n",
    "    - input: PyTorch Variable of shape (N, ) giving scores.\n",
    "    - target: PyTorch Variable of shape (N,) containing 0 and 1 giving targets.\n",
    "\n",
    "    Returns:\n",
    "    - A PyTorch Variable containing the mean BCE loss over the minibatch of input data.\n",
    "    \"\"\"\n",
    "    neg_abs = - input.abs()\n",
    "    loss = input.clamp(min=0) - input * target + (1 + neg_abs.exp()).log()\n",
    "    return loss.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:14:53.134440Z",
     "start_time": "2020-02-26T13:14:53.127465Z"
    }
   },
   "outputs": [],
   "source": [
    "def discriminator_loss(logits_real, logits_fake):\n",
    "    \"\"\"\n",
    "    Computes the discriminator loss described above.\n",
    "    \n",
    "    Inputs:\n",
    "    - logits_real: PyTorch Variable of shape (N,) giving scores for the real data.\n",
    "    - logits_fake: PyTorch Variable of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Returns:\n",
    "    - loss: PyTorch Variable containing (scalar) the loss for the discriminator.\n",
    "    \"\"\"\n",
    "    real_labels = torch.ones_like(logits_real).type(dtype)\n",
    "    fake_labels = 1-real_labels\n",
    "    loss_dis =bce_loss(logits_real,real_labels)\n",
    "    loss_gen =bce_loss(logits_fake,fake_labels)\n",
    "    loss=loss_dis+loss_gen\n",
    "    return loss\n",
    "\n",
    "def generator_loss(logits_fake):\n",
    "    \"\"\"\n",
    "    Computes the generator loss described above.\n",
    "\n",
    "    Inputs:\n",
    "    - logits_fake: PyTorch Variable of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Returns:\n",
    "    - loss: PyTorch Variable containing the (scalar) loss for the generator.\n",
    "    \"\"\"\n",
    "    fake_labels = torch.ones_like(logits_fake).type(dtype)\n",
    "    loss_gen =bce_loss(logits_fake,fake_labels)\n",
    "    loss=loss_gen\n",
    "    return loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Test your generator and discriminator loss. You should see errors < 1e-7."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:15:07.922725Z",
     "start_time": "2020-02-26T13:15:04.288353Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 3.97058e-09\n"
     ]
    }
   ],
   "source": [
    "def test_discriminator_loss(logits_real, logits_fake, d_loss_true):\n",
    "    d_loss = discriminator_loss(Variable(torch.Tensor(logits_real)).type(dtype),\n",
    "                                Variable(torch.Tensor(logits_fake)).type(dtype)).data.cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "\n",
    "test_discriminator_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                        answers['d_loss_true'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:15:10.811007Z",
     "start_time": "2020-02-26T13:15:10.801034Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in g_loss: 4.4518e-09\n"
     ]
    }
   ],
   "source": [
    "def test_generator_loss(logits_fake, g_loss_true):\n",
    "    g_loss = generator_loss(Variable(torch.Tensor(logits_fake)).type(dtype)).data.cpu().numpy()\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_generator_loss(answers['logits_fake'], answers['g_loss_true'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 优化我们的损失\n",
    "创建一个返回' optim '的函数。Adam的优化器对于给定的模型具有1e-3的学习率，beta1=0.5, beta2=0.999。您将使用它来为生成器构造优化器，并为笔记本的其余部分构造鉴别器。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:22:17.785020Z",
     "start_time": "2020-02-26T13:22:17.780054Z"
    }
   },
   "outputs": [],
   "source": [
    "def get_optimizer(model):\n",
    "    \"\"\"\n",
    "    Construct and return an Adam optimizer for the model with learning rate 1e-3,\n",
    "    beta1=0.5, and beta2=0.999.\n",
    "    \n",
    "    Input:\n",
    "    - model: A PyTorch model that we want to optimize.\n",
    "    \n",
    "    Returns:\n",
    "    - An Adam optimizer for the model with the desired hyperparameters.\n",
    "    \"\"\"\n",
    "    optimizer = optim.Adam(model.parameters(),betas=(0.5,0.999))\n",
    "    return optimizer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Training a GAN!\n",
    "\n",
    "们为您提供主要的培训循环…您不需要更改这个函数，但是我们鼓励您通读并理解它"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:22:41.681360Z",
     "start_time": "2020-02-26T13:22:41.668408Z"
    }
   },
   "outputs": [],
   "source": [
    "def run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss, show_every=250, \n",
    "              batch_size=128, noise_size=96, num_epochs=10):\n",
    "    \"\"\"\n",
    "    Train a GAN!\n",
    "    \n",
    "    Inputs:\n",
    "    - D, G: PyTorch models for the discriminator and generator\n",
    "    - D_solver, G_solver: torch.optim Optimizers to use for training the\n",
    "      discriminator and generator.\n",
    "    - discriminator_loss, generator_loss: Functions to use for computing the generator and\n",
    "      discriminator loss, respectively.\n",
    "    - show_every: Show samples after every show_every iterations.\n",
    "    - batch_size: Batch size to use for training.\n",
    "    - noise_size: Dimension of the noise to use as input to the generator.\n",
    "    - num_epochs: Number of epochs over the training dataset to use for training.\n",
    "    \"\"\"\n",
    "    iter_count = 0\n",
    "    for epoch in range(num_epochs):\n",
    "        for x, _ in loader_train:\n",
    "            if len(x) != batch_size:\n",
    "                continue\n",
    "            D_solver.zero_grad()\n",
    "            real_data = x.type(dtype)\n",
    "            logits_real = D(2* (real_data - 0.5)).type(dtype)\n",
    "\n",
    "            g_fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "            fake_images = G(g_fake_seed).detach()\n",
    "            logits_fake = D(fake_images.view(batch_size, 1, 28, 28))\n",
    "\n",
    "            d_total_error = discriminator_loss(logits_real, logits_fake)\n",
    "            d_total_error.backward()        \n",
    "            D_solver.step()\n",
    "\n",
    "            G_solver.zero_grad()\n",
    "            g_fake_seed = sample_noise(batch_size, noise_size).type(dtype)\n",
    "            fake_images = G(g_fake_seed)\n",
    "\n",
    "            gen_logits_fake = D(fake_images.view(batch_size, 1, 28, 28))\n",
    "            g_error = generator_loss(gen_logits_fake)\n",
    "            g_error.backward()\n",
    "            G_solver.step()\n",
    "\n",
    "            if (iter_count % show_every == 0):\n",
    "                print('Iter: {}, D: {:.4}, G:{:.4}'.format(iter_count,d_total_error.item(),g_error.item()))\n",
    "                imgs_numpy = fake_images.data.cpu().numpy()\n",
    "                show_images(imgs_numpy[0:16])\n",
    "                plt.show()\n",
    "                print()\n",
    "            iter_count += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这并不难，对吧?在低100s的迭代中，你应该看到黑色的背景，当你接近迭代1000时，模糊的形状，和象样的形状，当我们超过3000时，其中大约一半将是清晰可识别的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:25:23.093833Z",
     "start_time": "2020-02-26T13:22:43.816004Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.39, G:0.6644\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.294, G:1.011\n"
     ]
    },
    {
     "data": {
      "image/png": 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KCJsoUblTr+KwxRplQSArEuKJJ56QFNASLxse3pkzZ0oKXsPHH3/cmrydcMIJkkKOJpIKtL7wwgslhbzLIg3W7H9Q2FfhZJFvoRLzSjwPCfnHP/5RUvCE//jHP5YUbBWQlZjz7NmzzVaBB7zD3/jGNySFeSOHGJ5987rY+439NXLkSEkB6YvNSdyo2/PH3MAfGUxk9NDUjPxgYq1oQk8//bTZcxdffLGkEFMn7xv+eE3MPKs5ghRsWPgDlTzFMXMpxEHjFqIgK3vtqaeekhQym0466SRJAfFuvvlmSWEPvvDCC6ad/OQnP5Ek05qYL+LT5E0TxfD59i0tLbbP2Bf4b4qtYUwlVWI6qkO+w33cad87lyB+yAwQNRfVed68eRakZqJRLVCFccCwoejpCr3vfe+T1N0R0I+xSBC+aMc9X/TM67a2NlMfcX6xcZk7hBPf5YeLAHr++edN7Wej4uqnGIINT6jIdxWkPO/3v/99XIyfdw2qWVz8PHz48Lw19P2ptm3blslfdI88/hAmFNvPmTPHnGqsIeGb3//+95LCxkTIMUeMg9TFBx98MK+0MeYrcv7lreGBBx7YFfPGOPmBx45HEjngkblkfFyLsEWgzps3z1Jm4Z8fJML3lFNOkRTCYYAUfJx++umSpNtvv90ECM+Pi00kaeXKlUklTpSo3KmkShwnwEuFoZt+/fqZdMZYRrrh1v/qV78qKagrFAdQ0NzQ0GDOGlDtyiuvlBTUhCOOOEJSSMLA6KeUC7SKEd+fA5NVtoRTBBXah24qKysLugSiQvJ8xss9kMQ4lurq6szJwRxecMEFkoKjis9BVtTdd73rXZJCP+HW1tai6rFUvG8VKl5v+GO9+Yuj5qqrrpIUHEMHHXSQpG6kkLrXkPGDUCTNcy2OLJANRxdrjKYRJ3J4E4x19wTiEcbBkcfr6upqC+PAG9egErPH2Cc4R2ltc8QRR9g8eK0HM4fX3Bv1lrAfIa6mpqa4w2XeuNCwsighbKJEZUR96pro7cF+/fqZpCBYjbQmUZqEeFpuTJs2TVJIfu/q6jI0RhJR5EwIBFc7z+DejAskO/nkkw3hfagjK4EcnnwX/7gzJPcA/XxDOQLlJHdTZnX00UfbGJCc2Imf//znJQXHDmiGfY7tD914442Sup12PZ2tE5Pvt1ysTzT84cyDL+YZe4tmY6Rmwl9HR4f5F0hNpcgB/tBGsPtAa8aHk+rss88u6AKJVpDVjIB7kNDh+xjX1NTY/2hjOLTYLzwLTYa9CKp2dnaa8wte7r33XknBLsfWZ897/w0NAK666iqz4UmuQRMicSOLEsImSlRGtF2n1yHZt23bVnCiF4FzpA26OZKEAHp8Xg7eNO6BhMejx+dIXpDWJ6dXVFRknp4XhWuKpiZ6BI5PnkMDgFd4QQMA8fBmk8DPHNTV1VliOLY8Ep1WJdhhSFq87dh4zFvcuR508G1H49MNSCrw3vP45Dm83NiVIAn8sIa8TysU1rCmpsYS3pk3zx/aCfYdaY7YkCSO9O/fv0ArYF+gyfjTGwYOHNglBY8rvJJu+PTTT9s4QFbGjo8ALQINxLeUqa6uzms6F/NIkgX+EPYpa0jSEAUeAwcOtLWDJ2xsEjnWr1+fvMSJEpU7lbRhs9qrIMlqampMypC0jpTBG+jPkqEZGwH2XXfd1ZDKt7fE3qM1Kq+RgjwD+3D58uUFY/UlWp78SWxoHCDBkCFDDMEop8LOAM3p3s938ZgSez3ggAOstMp3oGd+kL6gAuMCzbjulVdeKTh7tVRSiD9biO8wjuHDhxuCUViNnQl/IATSHz/EaaedJqk7ZRG7jvsy72gIJBvgQWdcaCNEDxYuXBi3a5XUc5M5NCDGB3qh1ey33362hhTQMz6Q/dBDD5UU9gHebbz4J598smkD/pQ/NC5sfHgEzbF18dvMmTPHePIxY38GsaeEsIkSlRFtV3ld9LlJPew1pApICwIjSShBohnb66+/btIOpCDD6ctf/rKkINF/85vfSAoFwiAeUn3jxo1mZ3lvW9bZoiTHM05fflZRUWH/4w3E/iNrCzsHPkhnI2Vt0aJFBS1J/+///k9SOI8Fex0pDbJiW8Hr0qVLze7CdvdaRWzjYaPDH5I8PmGN//FUY6OBWL744dJLL5XUnZUkdWdvwR92NNlqNCGgvI54K2sMXzF/HIkCGvp9521YGomjqZFNBlrV1dVZIQBaGqiMZohvAO0RTzi+hcWLF9tn7Dc827S/oYEe9jopijyDPIJHH33UWqGS5oqfAM2jqakp2bCJEpU79SoOi4QrVhSOdAdt0O/JjcUbePbZZ0sK5UogYXt7u8XqyAThWAWygUAw2lYiqXwB98CBAw0VkK5Z7UY8IT3xlHLPiooK0w7wTqM9EB8GDSls+OlPfyop2NYdHR02H8SMyZ0988wzJQXJiq3PvOF1xb7ccccd7TPG6g/Misk3+QJpWKeKigpbT2LAoDpohEZDmRj2KLHXbdu2WS4uSfMcfUHGEJ5/+CAOyRqybjvvvLOhGrzDX1ZDcdaH+Cf2PnHlAQMGmMaFXYs2QU47jQQoTscrzxg6OzvND4H/5ZprrpEU4tFoKqwh84YXHq1iypQplunHAXCsk8+T95QQNlGiMqJ/uQlbfDL4m9+RFNCFuCwSCxuOuNitt95akHNJFpDPJCFLBRsOCQrFthyIxXtI+K1btxa1Yf2xlNh827ZtM/s8Rl0pHD9JDI3KFPih0Pu6664z9GPsX//61/O+w3xh9+J5xtaFOjo6CpqmoQGxFnEMz/OHpgF/ra2thgD+SBJQ07d7YR7w+F9zzTW2/vBHIT5IgkaFDYvnGf7ijDN/nAgICn++CduAAQO64meApsSR161bZ/Yl2hFaG95g/BKUDoL4ZOgdc8wxtu7saRrFoy2ggbJv8TwTAYDWr19vXmt4Yg3RWmbPnp1s2ESJyp1K2rD+4CZfCSMFZCXeho2CvQdyYN9h62Iz3HrrrWYnILnxlIIK6PVIfjySvuFaLpez9/yxDiCnJ3JfiQd6ZO7Xr5/Ze7RIIYMFhKdKg4bSZCtR2P6Tn/yk4GhC4n/wyD3hMT4OUgrZTLlczniLjl+UVLz4GSTDdivGH+MF1fEV4O3EzuJoCpD4Rz/6kaRuBEHLwCPKMR+gJPvBV3cxDpCmqqrK+POZS1naIHW5v/zlLyUFL3fsCfd5AMTwQXxa8dA8gfHhe6G+Vwp7nu/Ck59/n1eAr2bo0KE2T+x59kVPLY4SwiZKVEZU0oYlhudrS6GKioqCSh6uwQuHZENKY0ORGXPLLbeYPeebW+FBRNohpblHsTrdrPrXqAVMUfsnC5ljic89eI03GxsGtI6PiJCkL3zhC9ZmBWmMhoGnFwmLBxiefWuXyspK4zeuaY3vvXnzZuPR8+fRqrq6uqCSB/7gB/7gl/mHvyuvvFI//OEP88aAfedb0hI7Bn18a56YP+7FWvLaH3b89re/Pa/jhD86dOTIkWbXMt9oMPgZOKoDpMVTzr499thjTWtAIyE64Fu20rKUZ/rsuZqamgKvPX/5DcydO7eoDbtdyf/xj9NPpv8x8cP16hvMHHjggea8+dWvfiUpqNWoaEyM79Doy60aGxttI/hgO5SVOOEpdqyhcuOoQY3hfcbvf/RszqlTp1ovIXpcEbrAMYF65ZMwvJq18847F7QXKdL3qcDpVIo/X06H8IA/HDaMib/wd+ihh9ocwB8/ckoNKVtD9c06+3XUqFFmNvWGP0mqra3NK+DgOp61efNmU9lxTGHm8UMhvON7NBOaOfTQQy1cRMIIP3I6P/I+jiN4QwjzG5k8ebKZHTi3EPJR98jkdEqUqNxpuxAWyRUH6n1itu+DC/mu7lu3bjVp5s8B9SEjj5pcH6t5PgRVpGVMUYT1ZXmEMpqamgpOeocYJ9LbN3JDVdqwYYOpQ0hQHGdcA5LCKwTqxQnxPlXUv+7s7CxAWM8foZw1a9Zk8sf9cOL4M30Ye3Nzs6mJrBkqJ6EV0KYv/GU1I4j5k0KzQPYaz0J7eeKJJwr2Ibzi/EHd922RGP+aNWvMUUVZJyhJAg2aD6jJfLE/mJOOjg7TpOKkHynsg40bNyaETZSo3KlP58PGfVWlboTzThpvb/iUQFAxdqb48z1BAd+H1jtZiqUbZpVg9US+fy/J6HV1dTYOPz6u9We/+LTIjRs3msTmM9ACZOJaEAf70dt4XV1dBQUVxfpFQ34+4CHmL17PYvz5MfiWnM3NzXat9zOAYJ6/yIFUwJ9vfZPl9IS8Yw7tjSSUXXfd1exI0I69w2sKBrgXyRFoRIsXLzbtgffQUihHZLyU27GGIHN8PhIhHvhnPFmnzEMJYRMlKiPqFcKib0OxLg75MIq3N31SPTadFGwkH0xHguFRzvL8QjvssEOmrZRFSD0kKlKc0MCWLVsKNADIezHxQIJeMTKQXgni+AJvEMCXynmNZdy4cTa23iAQ3wNJIOytlpaWAv547Rt64/3ERoNPKSQFMDbf2R6veG/4i1rB5H0nC2FBMjzx8EF528KFCw0VmQfuDQ/YjrR7wcsda3E0FyB8w76k0IHTLPh9+AbzjHP69Ok2hyTU+CboWZQQNlGiMqKSXuJEiRL9Z1FC2ESJyohK2rBZcdhilNVGpjfkS796+pzX/mCnrGbhMfk4LG1AfbOyYg3I43KtYuOAfGpdLpcz+4/YnZ8vMsLwVmIT4kXGRxAf1VGEN0nSli1b7AJilNhwZPZgu3V2dhqPZPJgm/EdxohN6w9wamlpsVgk7VL8ma6kOZJE/973vjePP/wX7e3tBVEA7ztYvHhx0Va1fA8qVjSADeuPMMF29M3q4sbreH9ZQx/zJz6Ljcv1vmyxtbW1x3yB1tbWFIdNlKjcabsyneKk/J4Om4pPa4/pX0HkYmV+Un5cmOd6D2pvc4k5bXvx4sX2Xe8tRzryPoUO3mu8YsWKggR9xgn/vhide+K9BAmGDx9uHl6flwsCxk3K6uvr8xLjuQ9HdM6bN8/WE/LHWPCaFie8T/L/Cy+8YNfg9Ywb48VzgZccjYKcXrKmRo4caQhGthleV+61du3akmvI/JPf/NprrxWUKfp9QXzYJ+wTPWhqairIm48yrySFueU1z/Jx/GHDhhUU0qNNsJa+0ZzxWuzNRIkS/WdSrxAWSUp1Rkzejvt/w+vs22lQzVGMspqfQx5hKT8j75SWJqB4VVWVxVB5LghDPrC313zLzFj7yLKVsR9BKArqi9nnvkTMx0vjapZddtmlSwpF9hSds261tbUWv3zjjTfy5gpbjOf5VjQgfax5YNf6TC0qr+CPg8NAsFgD4x7ML83V4M+3+amqquqSQmUQrWyYu8rKSvMhgPC+SN6jZlb1GfeLx8PaUDKKnfzcc8/lfTeOJ8e59PE4sjRBKCFsokRlRL1CWG8zZtmQxcjbtnE+JZ8jeZC+SOWeMlygGOH8td6j6msp8aKCCKBW7CH1zcUhronbt0hBOiPNGxsbzf6iKgRvsK8LZbz+WUjtzZs3m0eVa+JWnG8+13jcdddd8yYEVMRbXFFRYR5j7gf6cg1zg9eT58NfbW2t2docU8E9setBSe7lD7xCi1u/fr3VQ/tmCGgSCxYsyFvDmpqaPE8/14HUuVyuoAoH4hpsWJ7JvbDFGxoajEeOFYE3UNi3mc1aw02bNtmeYr29H6G5uTkhbKJE5U69yiX2qBV7hnuKffp4Fq+RPuPGjTO0sUG9Kd1oZE3sLj7mMia8iUjm+P5Zh1FDoBL35DoQb9iwYQWVFL6RmK8b5bsg38EHH2z2DPPAZxy2RHNu0IRm6TyL9qFPPvmk3YPngZrYmjExRuKO2Jt4QydMmGC2OVLfN/2mTQrkazgPOeQQuwfvgSY0gYM/+KVbA3OHn2DRokW2Bhy9wVwwN56i+LOksPa8bmxsLOh44hv68T5aHmiKvT558mRrusd3uZb8Y9qZEkNnXzMe1vCpp54q2AdoKx5pPW1XWKcY+YB0sZCLVNg36BOf+IQuu+wySWFBOJfl9NNPlxR6+HIqXHxGanyvYrz48JE35lGnssoE+/fvb4tN8jflUqhZjAcV0reSmTVrlnWHpxMlPZa/853v2DxI0gknnCAphDkQOPpAl5MAACAASURBVHGCATz5xH4SymO1f+jQoXkqP7wghOLywaOOOiqPv7gHkRQSA1CN+dGfddZZlhiBECFcwybH6XPllVdKCmYE42Dsy5YtswQVXwRPAYFPKqiuru6SCkOExdbwgAMOyOPRO534gfozaWfNmmUdF1HfWcPrr79eknTOOedIkp2bww+adeJeLS0teWc3SWHvIHy96QYllThRojKiXqnExVqx+M+Qxl5FBjXpLfzrX/867+/IkSMN3ZCgOGY42Q0U8oXhPpRUrKC+p8QM33Hdq5BtbW2GKPQOJugN0nGKwRNPPCFJ+vnPfy4poEsc9kCyg7SzZs2SVHgCADyhljLOHXfc0eYahI/PyfHEenC2KahI0fWGDRssrRC1jLUC5UkjhJ9PfvKTkoIjqbOz09aG+7LuzB2N9FhbEJWyQngZNWpUgRPHay5ZPJKcgTob9wXmM9RU5pA5g0dQk57SnFhRV1dn42LMJGZcdNFFkkJIEFWe/Ym5wJoOHz7ctC8QvqczcKGEsIkSlRH1CmE9asVNu/xn2Ca8f+ONN0oK/V85TZ2g/BVXXGFOIwxu37CMVpNf+MIXJElXX321pMLk/46OjoL0sJ6cYkhYxsNrxlJZWWlowL1xHiAlOaENBEIqg0AXXnihJQiQ8kiSPBoKry+88EJJ4exRiGc3NTWZBPeJBcWkM/enzShzyngGDRpkxdrYnyQggCSc7cpzKAxnbg877DBDeWxU7DqQk7k5/PDDJUn3339/3vhiux8HFMjKd7PQhzUj8YPr4LW6utrGjlZE4wCQjZP5OO2AM3/43sUXX2waB9/lWnhgn15yySWSgu+F8TGudevWmV0OaqO19UQJYRMlKiPqUxM2KE6c9u1FSLGbN2+epBCSwUbkZC9siXe9610FkgvbADrllFMkhZCAT+Pi2cOHDy9I3u6J4lMD4u/FzbSR9KAuaXacAUSyOgF1bBnOejnppJOMR747Y8aMvOcdccQReffA7kGLwBO87777WtoiY4xP2vNEiMY3OcfWlILG4BP4QVy8tawtYZZjjjlGknT++eebzcpaoFmBIKR+EvYBedFS0LJ2331382WQCov9Cb+e/BpCjLutra3A+0vIEM0D/wR7Dx8La/nRj37UtBLOWCJqAYIee+yxxoNUmMpKCGfSpEmmUYHw+AB6Osc4IWyiRGVE24WwUFVVVYEdiVQ57rjjJEm/+c1vJAW79I477sh7vWnTJpNQnM+Cxw4PI0jGCWzYIaAOz1y5cmWf25xmtQFFKo4cOdLS7JCwoDhHNHDMBtdxvi2IsHr1ahszp3cTtwRZ8aKCKiAj0hy7+G9/+1uPDe+K8YcEx2MNwu2yyy5mo0OgHiV4jI05AUmIGUoBzSZPnpz399vf/rakcJodCfLM4Qc/+EFJ0h/+8AdJ3WuJbe5Pls8q4fQFEj6qUexsHdbqpJNOkhT2GHPxxS9+Me/ZK1eutDXklELWkGM+mCdsfzQfPPTYuP/4xz8ym9L3RAlhEyUqI/qXD8Py7+EFxWYl44UDlUBWmjxLQXLi1UP6E3/F2wb6ICV9PLQU0kQZVkXbi/gjI+KjFPgu10yfPl1SaGMJj9g/2CXY6zFv2IXEPJHkeE05NxbtAnsVdI/tON9oHVtv+fLlxuPAgQO74rGCXmgnr7/+utl1PAOvsD8qBe8t6P/HP/5RUrfdBUKA5Gg9p556qqSAOnikmV88wCAvnlcpeH1Zb6554oknihaw+xPbWa8tW7bYHsPbjreaeWZvYduyhnfddZc9B76ZJ2L1X/nKVyQFnwVriDcfexUbNl431gPi3mvWrEmZTokSlTttV3ld9HmB/eC9xiRCIy3xguF5nT59ur70pS9JCrmqoBFZQeRu4gXlc1/OFFNWIbvPJSYP1ceAGX9dXV3BqehI6dhzKwV04B4g0uGHH27njpIojvSl+TTNqLELkfzFjnlgDiNpnMdzrEXstNNOefyxDqDPxIkTDU14NjYXCHLwwQdLCmjgW7hMnDjR5uCCCy6QFDz+06ZNkxSyv+JT0ePxQM3NzWZvxi1o4u/4g6IoYPcHTHF9XV2dzR88sL5oPIyfZzEnZJ5NmzbNfBb4FVhDjkkFtdGemB8yx6BcLmdaAB55f6atP/ALSgibKFEZUZ9sWH8sYXw0IEiG9PEVLVRJkMmDd+6d73yn5dOCxmQyYQdxL6Q00hFb0p/EXop6asKG3YY91NzcbDFUEJ1qDOKFvngbtMQ+3X333a1FCxkulGJhkxKv/upXvyop2EsgMxrJ+vXrC8r9fJueuNID9IEfng9Py5YtsxgqHlKqdrgfc0L+Mx5gtIPddtvNfBZoIU899ZSkgOQcdnz22WfnjeO6666TFOzvuXPnmiYF+oJC3NsfdswaspcZb3QifUFMmTXktHTWljUkM+/SSy+V1L2GaAuM5+6775YUNBHWkBg0iE+8ltfNzc0FTfi8ZztV6yRK9BagPsVhix265NtyEi9EopFJgueMDB/ibr/73e+sggNkokEXNaLYTGeccYak4GkspR34nOBiWUDxPbBLQcv4ICZsIpCIsVPY/d3vfldS8DSiISBp58yZY/Ysn/H3+9//vqRQrXPzzTdLClqFb8vT3t5e0IKTccUHjEF+feIMJ6kbcbCfyMIiS42MHbQmUIBidOqVX3rpJZs3GqBRO8xanXzyyZICGoFsaFFx61zQjoO00Ly8VxzyGW98H80jl8vZ+LgXiI/n+fbbbzdepBAvv+WWWyR1awx8l/rtr33ta5Kka6+9VlLY6zfddJOkED2I2yHFr6WA1ty72BrGVFIlxiED+R5LcWoiG5IN4dUTfgBMHJ0IXnrpJVt4NiklTqSL8ePHyYOTBeJes2fP7jEl0avEY8eOzfsCKjy8tra22o+ZhA42NNfgfIBHEjzOPPNMSd0/WArTcUAQRMdhQTgBIUAogPklEeW+++6zDel7QkedFozHKVOm5PUl5jtR/1t7D7OFTcNaEZLjB0PiAJv85ZdfNkcVP0SEAMUAn/nMZyQFtRpzgjmjZO+mm24yAcmPmT0Ef0uWLMlbw9GjR3dJYT18el9ra6uZbggSv4aEvZgnPkfQPPvsszrxxBMlhUIREiUeeOABSSGsh8ONLiOsIWr4PffcY3PpzyWOTg5MKnGiROVOJVVin3ZYKqyDxADuCRLfeuutkkIohtAN5UsNDQ0mmbg/zhpc6gTyCZsgjfgctOrBgVb0fQrE4yC7FFTkqqoq+x9kA3lQ2SinYlxHHnmkJOmGG26Q1I0QONmYH9CXa0FQr1WglqKGx6mcoBO8+ZMJpJCoz3fggWsrKytNpeY+qK2gPuiD2kroBmfKXnvtZeohaijqNWvJGjKXPMsn22/YsMFCL6wF2gDo7IkwEI41tKS4LZFfQ+5N6Ohzn/ucXSuFdENMlAEDBhhCgso40Ah7UQyBFsVvAJMPcyE+k5d78TerSB9KCJsoURnRdnVNLPaZL6JG0tK7FUcFSEIKYy6XM0mELUrLDVz/SCicT0hS0Oqee+6R1C3xs04Dy+IhPhVOCggQd3fkOSA5z49DP1IoAgBNsFs7OjpMs4BvwjegG7YriM+cQBS0n3nmmWYfkrIHIhU7dd4nkBAeis/NweaDP3+S/EEHHSQpaEU4anCqVVRUmAOMcBGN9OAb/4M/TQA7lTDKhg0bLCSEBoVNW+zkiZhH31ANnqurq20NsSvZn6whWgUOT9r+gJq5XM54wAlHSiJrCFozb76UMG64RzgP+5w1TOV1iRK9hWi7kv/jZHsQCUmF7eVbVeJJRcIh6Wtra8397c9lQcrxHSQoaA4SgOKxneq9b1ltTvGE+1apjHfFihUmQUE9nstfpCMog/eQuWhoaDDUwI2PZCVQD3ogebHXsSMplhgwYECBVhAnVbw5TwVtTpk7JDiJHI899pi1YMWuZR1AEpoN8DxCH/H5M9ht8Mc8gs4+RRRtCY8qSQgDBw60OUBzYd5B41WrVhVNTfQlaqQGrl69uqDtDOvLNfAGiqJtxM0LCE3CI34ZWurgWWbP4wnfc889JQWto7q6Ou+s2Pg5rGF7e3vyEidKVO60XQXscTqV977xF9TDhsE2I4H6iiuukNRtpyDVkEx4p0nI/u1vfysptCgBYYj5gmzr1q0rsFV7SleMg+vx9aTpjRkzxqQfqIAnF0SndQ1EyiSNp6dMmWIeZX/iOAhDqiL2L+NCKjMXc+fONanMWEGkYp5wigiYKxCWgu19993XeAdJQSpiqniy/brQHvXiiy+2tfGn0aOFkLbHdxgrCQy0xnnhhRdsHzAunyjvya8hf9HEdtppJ9MeWEPvPSc+y/hZQxJ9Jk+ebH4G1tCXHd55552SglbBuCjeJ54dryFjLbWGMSWETZSojOhfKq+LCY8Ythn2B1IGKUlcjnYwy5cvLzh9GnuIeB/ZJqAQ9mDcZkbqlnhIYaSgJ2/D9u/fvyseP/eMT0znf5qV8Qzif77Qm6wdvKqLFi0qOEUcmxSpjC1LlhQ2FCVvIP78+fMt+Z5sKK9FxDbskCFDuqSAAqQKEu+rr683Gx3vL6iYVVyA1sSYli5damsHn6wd74PAaCcU5qN5Ma6//vWvhmqPPfZY3j2ikryia+hPrY8zwLC30WhYQzy6vnUORSp4jZcsWWL7lD2C9kN6KbYs684a8gyKGZYsWVKQBupj6m1tbcmGTZSo3KlPcdhSp5uDcnhMkdpIVBL3iSfGuZuUZpFDjK2AnQsaYHdgj3lkGzBggCEr0hjKsmXhDalMHBH7p3///nZ/PLd4f5GSIP55550nKbR7wX5sa2uzLB34J+5IxhMohnaB5GU8eJHHjRtn6ITtDw94GIvxjTaAHYXnvb6+vsBDDb94j0EZmq9R5I339tVXXzXt49xzz5UUjrrA08x6EIfFPiZ7ivcPPPBAy6/mnqAP9qcn9iPoDnoyHxUVFYbS5Kvjl8B25TQ9kv5p94IXuaOjw+KsFARQsE4Tcvw57E+/hiDs2LFjbf79CfQ9Jf8nhE2UqIzoXz6B3ds3EJIDaecL2sn4+eUvf2nv4SmksoMmZsTMkMpIOuK3GWPPGzM2jI9v0YQNG8YfwLR582az2ZDY3JsMLKQwDbvQNqhCuuKKKwryYclRfeSRRyQFG5PG1bSSiZvVSd1o7XOHvRd12bJlxiPHaTKHPkuqtbXV+MBGI4ZOC1KuxbYE6cjs2nvvvQtaz/rjStBg4I/KJ/wSoOTKlSsNkeALzY456qkJG3ONBrZlyxbLmoJ/7kmMlP0KujNe/CdXXXWVjYc1pKySah32CRoJOca8htra2goaD3Jv9t3KlSuTDZsoUblTSRsWqURMtRiBrBTg4jnEu8k9OG4Djxl22De+8Q2TqCAYqIPE5J6+4gSKG0xn5Q5nNWoGRWjZ6fOU+/XrZ1KZzCsyfbBDyDelmRwIS+7offfdZyiFjY29jt2DHYkm4JtpI3k7OzttzrHZ4mJ7T1TUEO/E/oYqKipsfYkbY2tRIcT7eG2ZG2zcefPm2ZqA/hTk+5a0XIetxr1Ap5qamjhjS1Lp4zSlELsmtozWF68h+5GYOfONp501JIrBGG677TZJ3ZlY/tBy7F7vf2BNuQfrgr1eU1Nja8g6l1rDmBLCJkpURrRducS9IbzAICoeU6Qm9sgvfvELO0YSdKM2EomEPREfIPzm+CT1rg42q31kQ0NDXgMv30qmtrbWbGwkKdf4oyzwOGIL4u2++OKLLVcWIoaH1AaBsNOR4iBuXKeLdGY8XMPrpqYm43G33Xbriq8BTXm98847m1cTNGSuqDZC+zjnnHMkBe0J/iZPnmzaBtlS5NH6ZusgGvzBS3ywl2/mThQBe8/bsLW1tXlr6P0pNTU1BdVYXEP8mzXEtmbPwePll19ua8j8oHH4PGCiCfDk84b79+9ve5jxoD3wG1i3bl1RG/bf9oPN6r7PgvG+d19PmjTJwiO40llMirfZxEU6y+U9K/5xZfHlEydwOkWfS8pPFiCs5EvCfJI84+IHS/jj6KOPthYqnDVEUP3DH/6wpEIVEqHAs6Dx48ebyop6GZcCSvl9idnMbDI2CHPZ2tpqJgkJE4TPcGKxqX1PYc6J3WuvvSwhAXMGk4dkAkJfCG7Wnx8yP8ZJkyYZf/AOn6jzK1asKNn5Eop/nKwVIICA9GcY8UNmHyF4pk+fbvuRM47nzp0rKZgG8M68oe76cNs73vEOM/O4xjt0U1/iRIneArRdCItU6qnYVgqS3DuD4vMws1RcJKQvfYvGV/T9UpSFsL6jHarQa6+9Zs/xTg+kMSET3wQMxFq7dq2p86hPqEs4W9AqcFhBvgi6s7OzQDX3al4cuqqvry96sgEJ/Y8//nhBZ0nWjDGDPiAFWhPz0dzcbI441FcSIQjfwW/WKelxah4IDvqQoBE1ZyuKsH4NSd5ZunRpgWkE8VxCc34NCXFt2LDBUNmbaqwz4/NOUcJL3LOzszMOM0oqPDXRnwFlvBZ7M1GiRP+Z9C/ZsP369esTuklBCvpEbanQRs1CVN/Aqtg1vbVhSRz3KIrka2xsNPRDK/A2ox8XEhV7bf78+XYt9iKIk9WEK3Ig+fGbjeSdGlE3eeNxxIgRXVKQ7l6Sjx8/3mxRX3wOv74ZAI6yuCkBKA8igeTwBXpjh8InSf9x2iuJHNiPUUK8JGnDhg0l/RB+PgYNGmTjKdYCKP4LgfyEJRcsWGDXwD+ImrWGzDX7J96TaE7sfz/m1Pk/UaK3APUq+d+3pkTSFTsfFvII59PG4i7u2ATeY4btgnTsCc0HDRpk9/Cu/SxCaoKGEKGODRs2FLjc4RXpiEZAyhoB9FhTIJGdMBfjBE1I5cuy53m9zz77GOoyl77Be0xIbrzUrCUe7Dlz5phG4FMC4Q+7k6QDvMixXwI+4J1iA9qF0oSAdScVkL3EGD760Y/a89DC4C/WxmJifbAlIUr3mpubC9aQsfv9gt1L+AtbXAolgvCGXwHe8YyzhvDk0Xz33Xc3exj+S61hHq8lP02UKNF/FJW0YRMlSvSfRQlhEyUqIyppw+JBxdsVn6AmdevbIDSxOdLW4jgr10qF52HmcjkrHCAh22dNYRvyOTFSnhU3gsNO8JoDr1taWop6ibMK3mMesbvw+vk4sf9uzCMeVWwizyNzgA3o47Nxs2zvlfYx7q1btxqPfclW2564NpSV6Zb1uX/dl2d7T39dXV1eeR0Ux665L3uJdfBNEHwcNo6hks2FV937ZWgOgC3La/YptHnzZuPf8xs1kEte4kSJyp1K2rBZOZq0qqT9ixQ8etzPlxSBHHxORsyyZcsKktf9CePEtXiN1CMOyfd23HFH88KSUeS90r65VRaPeASXLVtmvBCb84dRwaM/apPsmVWrVuU1dYu/C8L4kjCeRdYM3xs6dKihLnMOj9ERkj0irEeHN68tdmnmCfelWgZtL1VUVGQetwJ5hKWRePS5pFCc8eKLL9rYiX96hCci4Y+hBFUXLFhg+5C/zJ1vBs77aGTkDbNeo0ePNk8417DO7GmvCdr8FHszUaJE/5lUEmFpL0LeKe0zoOrqamuNSd4p6OiPbfTlREil2Hb0ecegEK1jyMThyASfHSIFSemPFYyQv+hRHbTzoGgbqqqqMm2A2Bm8wIO3m+MjLOLPi/Ho7XTGT7maR7Guri5DdJ5PLBGKeQRh4QHJHlNP9ue/g/zhUz5nOqa+ZqsNHjy4SwrNv3/605/mXd/Q0GBxaGKz+GHIj/bteEFDxllVVZWZAcY6Y7OyhrQ7LaahoH2RY+D3VsolTpToLUAlEZbibl9EjX2Vy+UMyXwuJhLK27YgLNk6Q4YMMZuMulhsYxAEvR7yHl2k1YYNGwqaSPv8WF/pQb1oXB8a89jR0ZGJpFyDTQMKci+k56BBg4wHsmLIFkI6+3F7TzB8tLS02JwzD3H7mDfnYbu8xFmUZdvGWVj8D/r7ipWevL+lULWINzxvQORLsx6gFXPW0dFh+439B2FD8l3mlGdif+6www7mH6FVELnOrCEZUL72mNdoOevXr7d7cQ1RBNZw8eLFCWETJSp3KhmH5deOjYT0By1GjBhh6IPuj8QAMXifPFV/hOD73vc+i2sh3ajooNUnx3pg59EyleuxcR9//HFDNyQnkswfkAz5JtRIQ2yXIUOGmL0DL17j8J5G3yr1wAMPtNxd7s+1HLtBFwPir3jVmXO8lX//+9/t+dwDOwzveV+oNxVXxdrbxq932WUXs429HY+3He+rr92FfPPvYs/LIu7F3uLZ2Kvjxo0r8GmAqCAoFTjkE3Av8pMPPvhgqyzyqMiRoOxTOlPQDofrWcM//elPppXxPCIMaItZVFIlRl30iQHxoqAO4EKHKV9czeZFRWZCZs2aZS02+EHiVPr2t78tSTrttNMkSccff7yk8GOEWORNmzbZj9iXQrGhvNMJx1opHtkQnBCPOusLvuGRxeBHf+655+pDH/pQHo+caMa5LJzqd9JJJ+WNm3EwX1u2bCkwCRBwCKdiTqfekC/58j9MX4qGoDrhhBN09dVXSwrJ8/RTPvXUUyWFEw9Yw96ezBA/L3K85a3hsGHDuqSwHt6hV11dbT9U9hr7FF5xJAEs/KABp7POOssAhMQdWsTQWxnnLKc5oAIzDvbgunXr7Hm++AQ1O50PmyjRW4BKIiwhD9Q0pDxOolwuZ90PuQ/QDuoceuihkoKLm85zqEh1dXXWggQ0Bl1o0EVzK86sAfFQZ3h2XKiMGo+kjMqoigbdUUX8KXNxWiESHgcGKEFfXBqN/ehHP5IUpHhjY6M5KjAhQEV4fOihhySFzvj+TBxeDx482HjkXiB6ZJ4UIGypJAfvMPTXoLYxFsJ7lMzttNNO1iEflEOVpP/yN77xDUmhl68P3cVj6SkRwyPswIEDu6RwIgTzA6J1dHRo4sSJebzh2ATpODfoiSeekBS6+rOfa2trTcPyxfg8B96YF3ikfQ5rOGLECNOG+C35UtItW7YkhE2UqNyppNMJyetPq8ZWq66uNgkEOmJwIynOOussSQFtKNRGwlxwwQUmqUh5JHma59ES9NOf/rQk6Vvf+lbe59hYa9asMTTEtgaFs4jv+uZghCcqKysLXPA4D3BkwKM/EYCk7+OPP97sbs5yoQ8u90Tj4FyhG2+8MW88XBfzyPMJY5Q6vTsLtfr161fwmU+TZCycrYOWRAL91VdfbRqKTzjAmYS9x4mEX/7ylzPHiebS66LuN/eBd/KA8pWVlVY4wvhw9jFO2s3i0MSWZB/PmDHDNL8jjjhCUtCGIL7DmUp33HFH3vjga8mSJbaHQFY0razTDYzXkp8mSpToP4pK2rCUnmUlY1dVVZlnkb/Yapxsdumll0oKdih2EFL6lFNOMc9cVud22oyQ+oU0xM4EvSZOnGgeZmwDbNhi9p0UGnhlleNVVVVZuATUpbE2djlnisIjiExj9BkzZpgd6Mu3eM0ZPwcccEBRHkGq8ePHG4KDDr5oIm7C1hsvsU/SGD9+vKSANhdddJGkELbguSDsuHHjTEviHj5dkvN5OOuHdjP+7OFBgwbZ2mWRt2GJZrBvvBe7oaHB0JF5ZJ9id55//vmSgvce7ei6666TJF122WUFrVC5vz9FAHsZzYvwEprRuHHjNHv27LzP4tMSpfwSyZgSwiZKVEZU0ob1NpFvfjxmzBizYZFceFDxGnKGDJLkyiuvlBTsr1WrVtl9L7zwQkkhfY+YGbYJtjSePc5BwRMJ4sWUdWod5KWxL38bMWKE8QSSI305ewZtAmTFTgMd165da3YVPIKk06ZNkxTsXuxgUBPPJHb87NmzC2KY/0p5W+yV5b7wd9RRR0kKSR1If7zg2Hdx4wBikpwzhB3J+TxoQFzvG5z3hK7FyBeBsD9A+d122832DrFR1hRNBmRlDTlHKD5uA/v3Ix/5iKSQMPHJT35SUjhTh98E46Kw5C9/+Yukbr+KT4HsTVN+KSFsokRlRSVtWH86uW+bsXHjxoKTpIlnYTNwmhkeYCQpUlsKEhEEw+vJWZ0cIEWck+bOeJx9c26psCUm9kN8OnnMI2NASsPP5s2bC3gka4l7EtMjDY9xcAqfFGKlzAvZWWQIwSO2DciENxkbcfPmzQUtOiFsrPiwqO1J/ocP0AgPJogCArMe/fr1szmKDxGTwhm51157raSQcum9yb1JQ4y0obw1HDBgQJcU7ED2KVrfqlWrTMPhveOOO05S2DtECeCdfUrsv6KiwtbQa1rnnXeepKDp8Zc1RPNj3zY1NZlG5w/KIhNu7ty5yYZNlKjcqSTCeskF8iGt8AxLhQXrSCFsMOKwSC6ajh1xxBFmRxx00EGSQl7lT37yE0lBGiLRQDZia0jnjo4Ok64R2kgK9oTPdCKby7edwZatq6szyZ7F47777ispIBHzRBbYYYcdZnYP3kmk77333isp2LJ8l/H7GHhHR4ehF6jLvBQ7brIvXmK/F+IzZKXg4fdF3tOmTdPXvvY1SQFF0FjQsJgLxs7neO/7Mi7vJW5sbOyS8o6jzBtfnHuOjcx6s5ewuYmlYuOSGz116lTbn6wlexjt4VOf+pSkYAeTIUhxS2yv4sNhXtg77K2U6ZQo0VuA+tSEDaRFCjQ3N9vhR9iMH/vYxyQFbyfvE6PC84vtNmHCBMscAbGxb5FCePCIiXEdsT3G1dTUFB+5KKmw9Ye3fzyPSGW+t2nTpoJGWcQSiVPyPtUc2LicLL/77rvr8MMPlxSQE28qNtzTTz8tSbr++uslhTk+8cQTJQVv6oYNGwrK/Xy71d5U68To5ZEMW9U3EsB7f8kll0gKlUW77rqreb/J5yV2i43GveAbjQftqi8N3bKasPl2tKzl6tWrDSnR8JhXbGryg+ERTejmm2+W1G1bsr7YskQHuCcZemSrsYfOPvtsScF/sXz5cptT1t8fK+qbBUIJYRMlKiMqGYdFF6Ef6AAAIABJREFUYiEpkCR4Szs7O83mQ7L+/ve/lxS8XdS0vv7665JCjJL3n3nmGbPnvvSlL0mSrrrqKknSTTfdJEl6+OGHJYXcTPT9YrFT32KU2sWs+J5vXYOdGqGVSUHsjccff1ySrAEdvGCvgaxUqDz33HP23WuuuUaS9NnPflaSdMstt0gK1TpIdGJ6/iClmEdsNmylrMOiSvEd/49dSd4vUh9vMJUsIOtjjz0mqdsOx45Hk6CZHUhGbJJ6WNawFIH8IFrWAWe+3Sw2fVwXC9JzKBm8sE/JU8f+ZE3RJhYuXGh5v7fddpukgJxohOS4s5agt88F2LZtm73H/mQvec+/p5Iq8dvf/va80izUhrgTBT8WCthJcmCj4UBisll8gs3PPvusqZj8qNkw99xzj6TguGJySSJgQUlguOuuu+zH5c80hQff73XMmDFd8b1QSfj+tm3bjEeSHXCgQThl4JHkABb0+eeft42LEwn1iXAOaiiODOYAoiPgb37zG1PBs3iMHRakl0Je5YxVYswb36ne96xCqBGqe+WVV4xX5gYVnx8qP37v3IMIpyCoSpFXiffee+88ldgXsre0tBjo4DhinPDED4bv8iMEPBYuXGjCCMGMg4rQFYkmJPYT3oFoUnD33XebU8ubNaxl6vyfKNFbgEqqxLjHfRd6pFX//v1NjULqcg0Sk+R/JBnhi69//et271NOOUVSkIi0FcFBhWMCxwXGO8UAqMwbN27MC/FI+QngxYhQBSiCShJLPBCWz+ARSYqDhWfjRKMsrb6+3ngEhUl9w0GFqoizjgA//XRJ7YsTOWK1XQrrFFNfeg3782ZBwzvvvNPmQgohKZI8GhoarGCA7xLmwTTxLYSYQxxEOPC2h9BaUFl94UdlZaXtWdaQa/bYYw9JQXVnbmlLRGFHfX29Lr/8cklhTnF6zpw5U1JAWPYUmhc9x9inK1eutOcwHuaeRI4sSgibKFEZUa8K2EFPX9hcU1Nj/2O3gbggFIkAuMCxISiGzuVyVnqGTXTDDTdICvYcDhuK0XG2gDA4d8444wyzv0AoHDHxie8xgRrYrqBp3MCL/7HPmQckOM44SrUoB4THzs5Ocwwhbb/61a/m8Yg0JhkEtAC10UhmzZpV0CXRn/GyvQQfvmge9KOjPhoP6J/L5Sy0Rujj3HPPlRQQ1IeK/ImI3PvEE0/s8+l5cZhRCnsQbaaurs72CvuUkA/jYA7xj+A3AWE7OjpsDXGw3n777ZJCsgifs+d9p04crpdeeqnNA3sfm97b9p4SwiZKVEbUqyZsSCeuRZIsW7bMpA2Ihn3DX6Q+nyPBkD6NjY2WHA1yIv0oS0LCI33wzhFKwDaoqakxxMQ24Dl45bZt21Y0NdGHDOLGY6Agnk4+AxVBcZ+wHwfw8Y4zD9jUIBJ2GNIZpKXlDhpKfAYqaZiMC7ss5rE3iRP+ZD3mDF8Ba4h9hSeX59bV1RligHb8pVAdrzeaDmNljjibqaexvvm3aBM2r0VRSL5gwQJDTHhjrVhLbGp4JJ2Qdaqvrzd0Zsz4Pbi3b6yGvY52QUSgvr7eeGHMeOiXLVsmSWpubk5e4kSJyp1K2rDYaD6ZACnwtre9zSQQEhY0xP7FO8h38RLjFT3ooIMsvgqCItFJJ6MIAMRFsuE5pU3qc889V9CNH7smq7kV9qhv+4G03HnnnW0e4Jt4MZKfxHG+g3ebJPGDDjqooGyLceJp/vnPf27XSgGh0D6Q0vPnzzdtgDEzb6WasHmKW7N4Ow4++AsKoaWwdjRS22mnnQy5WDvGSOyahBrWNG6cJ4X00mI2XE82LXvQlx2iCUyaNMm0ATQXtDSIdrz4B1gHWvfMmDHDki5YQ/Y0MVzKKfkO+wbe0TZmz55tc42WxDz45gSeEsImSlRGVNKGJaka6Yl9Fds8IAH2gj82AnsUyUv8kXYZS5Yssc/Q/bFJif/RqBsbAm8tUgnkW7BggRUZkEnk08JaW1vzYIhMIKQ0Eh4e4zgsKMl8wKP31sIjmS6LFi0yO5e/NGyj3QpaAjz6Vqk8a+HChYZa2IU+1tobG7YYgQhx8b5UeMYvyPqDH/xAUne8Ht5BVtaEuSCuyZrCJ5lpaBxtbW02n/4EPMjbsPX19V1SsAPJrsLeHzBggGllRCKwVdEafDN24rLstddee83mgzHDy4MPPigp2LI0ViCm7jWWv/zlL6Zp4ttg/qD4BMKYEsImSlRGVNKG9TYSWStkclRVVZm9gEcMhMWuA0kpOcJThpeura3NEqA5MIkMEtpEIuGR2jTdRqKS2/nOd77TUA27C1RAknqK802l4AGMj+NA6iIxQVjOsyVvFjTBlmEMbW1tZv8QY8YOJKsLNKBViX8WPI4dO9Y87f7ALN9upBiVasXis278ER2gDjFk9kN7e7v9j2aAZ/1///d/JQUEw9fBPeEbW65///4FZw5H3uGiPIHqaIBELrBhBwwYYNobewfeaChODJ2DrNi3MY/4G8jeg7djjjkmbzxoRfwmfDP1/fff3w4LY57QBFn/LEoImyhRGVGfmrBhZ8RNj5FmSExsP/R5EAtPL2hNtc5FF11kKIi0IYOEEi0ySTgaAZv2gQcekJRfpcHzGTPSFzR67bXXijZh43qkO17FlpYWqzhCSiP58dyiVdx333151yGtL7vsMkMQcm6/973vSQqebjQOPIpoKJTyxU3WQcn4lHgpoPEbb7zRJxuWOfO2MOvMXxqHo3HAy4MPPmh2Hbm5s2bNkhQ0KmxG4s20ZukJUWLqqQkbz8C3ATo2NTXZWvl9ShSDfYr2wD6l0cJpp51m80weAu190Oq4B4dhUQQfN+OTur3M+EVAX/YHyD9nzpxkwyZKVO5U0oal6gSpj0SPj+5AYhEjxUahkgN7lOoN7Axsufvvv9+kDFINz1l8eJBUmDMKIoBwuVzO7LDY6yhl2z/E27BZfFxWCrYhcTR4xINIlQYF+PBBneS9995riM1neBJ5HsXOWae78/3Ozk7TGqIjNAvGDPmWnMWIZyDdWSPGCvqzltj32IPXX399QftWNIf4EC+psO4YimPIWWuV1T6G1rogGR7/uEE6nuPDDjtMUthTFLLjU6ChAJrWZZddJqm7WB/vNd5i7HWIe8KL34Mgfn19vfkJ2Mvcs6cWOQlhEyUqIyppww4aNCjvMCxfyV9fX19QycM1ZI4Qb8NWQHLhGf7MZz5jzZq5L3YbyIlEx+vm48FxDStog1eSa/BGrlq1Ks82aGhoyOPRH5lQU1NjPPmjSrAzQRrio3wOjxdffLEd/sU98BKiXYBM/pjDUjz6vF3uvW7dun+pkTjE2HzeL7Zc7FugqgUtDP+Cj6nGh4H3lUCuuMmcJO200055Oe++I8fQoUNtPr2vgqw09ikIjAZApdiMGTMsP4D7oiWh/bBP58+fLylUl3nNsKamxn43zA9/+R29/PLLRW3YXjmdfCiAzb9t2zZbIBaXQfKD4YfqU9ZwcR977LGWkIBKQ9IDrWPokYPaBbMEoqEJEyaYEyM+Qf1NXnh+UaeTJya5vb3dePE9g5gHwjv+NDN+fB/60IeMR3ghNIM6h9nhu+chnKBx48ZZYwG/Mbe3L3F0bd79INbWp2/y/PHjx5uwYg1xQpF26s8/zQrVxAIpi3ziRE1NTZf7XFL+j5O9g9BBfWW+DznkEEmFRfz8KKdPn24OVnpZUZBB6xcSKHyXTUwoaJ999jEHHnvJt4pJfYkTJXoLUK/Oh/UtSUCLV155xT7zyfWolqhNXuXEAF+3bp05rlCBUZv4blZxL+GG6OzXAtXcv85C2EjdkhRCTMuWLbPPsnjEKcN3QQjeX7duXWaSOzzCs+986NMec7mcSWHPY9STuUeEzQrlFCPPt+802dHRkXmGcF+e01vyCEuJpJ8Xyi/nzZtn4+Aaxsd8s6ch1paQ3po1a0xL4D0cWZRAssZe8yPBB62jo6PD1hU1Ge0N7XHz5s0JYRMlKnfq1fmwvj8xKV9Dhw41Gws7DxTmWp8SiCTh+jVr1pjU88kOfBfpTGKADxVAuVzObBKcNHw3S5PwJWncmzDLoEGDClqPcE/fBgckgg+oqampwPkF/0hjxsf8+HtDXV1dJp3RLBhPXxw5fUE8f19/Ynv8ud8zWc/pzWl1vSXmlnuxB2gkMGrUKCuJxB5nj3Etvg/uhSbEPRcvXmxrht8Guxh7lL1PeMyfLxTb7di5aFb+NIcsSgibKFEZUa+asOHahkCftWvXmkRC+iBF0NeRsJTfYQcglbu6uswG8N5Pn5jtU/B8V/x99903bpOS9/ws9OG72JsQY2lubi44+xR08MFuwjhI8xjd8ZbiFQQdSeUjCM93QGnmk2dOmjTJNAvsrJ60CKmwMHp7bEp/On0cAvONzyCf1gpljbW2trbAU9sToY2QKglv7LUlS5YUoCPIiobDehCqI4oRawp8xt4gFEdJJ6m0jN+HwZi/Qw45xKIp7HXvgc+ihLCJEpURlfQSJ0qU6D+LEsImSlRG1JMNmxejhIplqeC5xFbxDbn9d+KMF+KveES9B9EnsPMaG5J7lcqQ4V5xFtC/m0fI29ZdXV0FKYieRzyOzAGvsXH8ESS95dHHKH3j9Hjs+Cqw63zbFPjyWTmdnZ3WVJz2oN7exVbHNqShOpEA7rVx40YbY7GDu6TC9il1dXVdUvAA4xOh7C322mO7ci2Edx6PLmvNXDQ1Nem9732vpMK2PRSQ4C2GJ3jG90HKYkNDg/HIvXzLmqzUxISwiRKVEZW0YbOyZOKjM3yM1t8P7yHeWx8r27RpU0EmUexBjt/3GTZ4Kfm8oaGh4MAuJHyx08lL8UiR8qpVqwp4hHxu9X8ij1n54KDFSy+9ZJ/5A8P8QWK0rfFe8Zdffrng+BLfboZ78NoXdoCCo0aNsgwiNCk0mqgNbt4a7rHHHl1SaCHEuIgmzJ8/37KeQEGyjzzxDLS3uOAF1KVVDIgJSqI1vPDCC5JCMQh54/xuOjo6LJLAPvMHmT311FMJYRMlKnfqVbUOksIfUFtRUWG2FhIJqYy094iC7s7nse3oc1b5DjFS3wy6yBEOJqmQjN7m83moveERNADZessj1xXjkTF7HkEFGrL/qzxSPkjlE21VGceAAQOsQRw53aA6GgO2LO/zmvnAXuV+MV+MkaNBsdUoofS89OvXz/YUGWagXhQTzVvDKVOmdEmhMojieRp8r1ixwtCNfcoaMc/MP/MCT8S8hw0bZmPFpqfNjW+NC2rSKoaSvbiVKQ3i2dO+gdzs2bMTwiZKVO7Uq2qdqJZUUrCvcrlcUaR887t51/rqDeySmpoak1jYHmSBgFB87nNYIeyfbdu2GQpwDWiAxM9qJO6Rn/H/O3isra01HkABcle5t+cR4nUpHpH80XzZTYYNG9YVjxU0iNuogKQ+G4p8Wq7ledirZPzEOeX+cC9Q2Leo8XNG1VJTU1NBsztyc6HXX389b5IOPfTQLinY2MwpiDZ48GDTXBgziIqnl739iU98QlJoccSzX331VUNs+Cd7j2J91pDrmBMyA6mbXrVqla0H2iINznmdmrAlSvQWoJJxWKSfl+i8rq2tLYizco1vDOYrTECF/fbbzzozIHWQ6ORu0ioTzx5SEQmM3j937lx7zx/k5T28/1/yOHnyZPMc8l2uJV8ae8c3a+d6pPb8+fP7xCNogz3IHIN4o0ePNrsOnrFDiRlzj7g2VAr29iGHHGLxV76LfccRJN/97nclBVuWriKMB4R56KGHjA/mAq8xrz2BYKwH14HUjY2NBUeA8hnzSxNB4rDwztoeccQR9l14ZMzcA1Q+/PDDJQVb2o9v1apVeRqmFBr64YHOol6pxFkB7IqKCvsMxwXuahYZNYvN5R0WZ555pqkhJG/TyY6esJwaQNc+DHWIe7W1tRWozfwwIsdFUZX438Gj78vDopxzzjnWNR8e//znP0uSvvKVr0iSPv3pT0sKJ971hUfUZQouYh45O9ULF/iL+wsdeeSRkkJyQ9xHSgqhGFRlQjLnnXeeddhEsBDKoMf0CSecICmsof/xIQTWrl1bUGTBtbRa8U4nWsQg4JmHONGGNULFhTd+uAgjEirgh88nT55sTQ0YF/zzQ+aHCQChKjMevvfyyy9b326EEfdizEuWLEkqcaJE5U69Uon92Z9xqhrSFkmB5EKa7L333pIC5HMCAM2t6urqTOojmQhAX3nllZKkX/3qV5KChGdcqHm8HjRoUMFZtn4828Nj1FG/Vzzec889kgLKDBo0yK6l8yOpfJdccomk0LwMac2c+GSMYjxmOaykgKyoWtwPlbulpcXao6AOwidIx0lrlDlyah3lax0dHTYm3gNpzz77bEmh7zMaBteTyIDZMXr06IKWQKinIL0nUNOf5s74V61aZU4meOE83tNPP11SOB8JVZ50Q+Zr06ZNpsnE5oRUGMrypzxgwqE5vvHGG7YPQF+uLXY+bkwJYRMlKiMqibAQUgZCclVUVJiEwBGChMKlfsEFF0iSzj33XEmhNSShm6uvvtq+gx2BLYBEA6k4LYxTBHy636ZNmwwNkXJZZ4z2lsfKykqTep5HkA0ezzvvPEnSk08+KSkg1ec+9zmT8ATwcd9j94LOdJovxSN2FnNcikecOvROxpYDjWpray0EA1JgC2JXzZgxQ1LQgEBaNJyzzz7bbG5ORwBRQR1OczjjjDMkSbfddlveeOBv9erVhlzwie2apSV5pw/PRBOaMGGCIT9nGtFe9rrrrpMUfAigJ05CfC9jxowxvnGwkd5JOJLUSNZ0zz33zBsXmsCYMWNsT3F/nGL+nFhPCWETJSoj6pUN6ylOSPdNxUiyRhrhUUVHx1ZDAsfucjxnuMWRnNOnT5cUAs/+bB2QeNy4cSZJQb+sEri+8Ahv8Op5RFuAR04yIP3uyCOPtJAUYQ08svBIB3o+/3fxiA3rUyKx82pra21saCf4EFgjkg1ADLSkb33rW5KkmTNnGhpiz3NWLmMjPQ97mTkDURjDlClTbF6x/eKTBIsRpxnecccdkgKSxYkXO++8syQV+BLQJkBlUidBfpDw+OOPt9MsaAUD0UCc9E/8OaRYwmvctI3QJaiMBhaneRajhLCJEpUR9cqGhXySe2NjoyEBUhDvI8cXII2QlthmSMvVq1eb1LvmmmskhUR8kgqwYUnUxltIwgT2Bu1XY+rrGS6ex0GDBpmdDgKBTv6IBmy+a6+9VlJ+PBCJzQl38IiEx86BByQtxdiUcr344osFtlwpHv21/sTz3XbbzWxE+MMr+7GPfUxS0CRAAzzb2IgrV640/k477TRJ4excTpjHRscrDH8kLJBkwDEYUmFSiy8OgbA7QSl4Bi3XrVtXcP4u9ieJ+qAi9ij3QEOcOnWqaQN8hwgJKZGcVsi8/eIXv5AUEiz4Leyxxx42Dn+KX1bZH5QQNlGiMqJeFbDHifDx6/g0cCQsEpOsEKQPthnSEDuvX79+5pFFwoNMZAEhqThhDCmELRenBMYnlccUnc9atIDd8xgXkMNj3KZSCnE40A8eQWAyXXrDI3FBtAl4RKsoxiNxWF8wH/NIJpcvEcTmbGpqMl7xWGKLgVCgDC1PuAdjzuVyZuf7Vjef/exnJYXMLmKReMspM2Mu16xZY0jKXmH+2VO+fcrYsWO7pBDb9qV9a9euLYiZ+rJQ7Hb8Kdi80OrVq80nAf+g8llnnSUpaHrMNdrE2LFjJYWMrXvuucd+L2ik+Gnw5v/qV79KmU6JEpU79aqAHXRA346LnyHvjQRJ8CximyGd8OQde+yxFptD10fK4aXE3sBe5nPinFAulytIxEeCZp0t2hOP1dXV9r+3pTyPID7oSbx22rRpZtvh6YYHkAdbFq8k6IYUh7q6ugo8x75RW8wjDcr8nIGIw4cPtznj2dwXFMaXANoTswY5pk6dal5gPPzYgjfccIOk7pxxKSAvc4MGFhddYBuDqMwrGs62bdvy1nC//fbrksL+8I3OP/7xj1vsFPsc5OcvtjYoTXFCfDYw/N53331FeQBBP/jBD0oKa0tJJb+X+fPnm88CpGdOWUtfQgglhE2UqIyoT03Y/Enfra2thmRIM+KJxLlAOFCSqhUqcPbYYw+zmbDbiKchjckCIUsFaUzlB2ixZcuWglK4Ik3PSjZh6w2PRx11lKSgNcAjKMm4yFrac889ddxxx0kKUvn73/++pIBq5FbDI4THEfuypaWlTzz6A6vRbNAoVq9ebRlmSPmTTjpJUshsQnuiOJ183C9+8YuSulGJDCfii/goGBP2H15yPKxkUYE0y5cvN1TzZYpRS5y8NRwyZEiXFLzEICwe9n79+hlq4xGn+BxvNv4HiNzruJSQe5B3TIYYyMvaEWNnP+Bdx7b9+9//bmPEe87ewrb9xz/+kRA2UaJyp17FYX2j7rimEqmH/k4cDal99913SwqIC7JS8fG3v/3NdHzyOW+55RZJwb7AO4x0RkpmIYwUpDKI0lNOcW945F6gBZ7Ou+66K49Hcp5vvfVWSd0SGYlN3jG2HV5icm15jd0GFTva0fPoD5yKr8cuJesGJGxvbze7DvuNuDJjvvzyyyUFj+ZVV10lKcSb58yZYwj57W9/W1JYS+bgZz/7mSTpd7/7naSQLw6yoNG0tbXZmJlf9ofP94bQikBtYv5c39raavY4GgveeOYQmxKkpSYY+3316tW2RiAs92fs2KhkvOGDYTzY5IsWLSo4xNwfnJVFJVXioUOHdknKDCO0t7cbhJOShhoV3SPvu/zYPvzhD0vqTqQ++eSTJQXVgQkhBQ4HBq5531GQYuOHH364IHnaF3v7E9j7wiNOMe8oYdIhxoeqP2fOHCvSJ0QCjzgmSAJBZfadIQklPfLII3mnxvXE41577dUlhbRFBBLztHXrVuMPZwlqGt9B+PJDeuihhySFBIrnn3/e1EDWF3MBwUxaH0KAHwzzTJnb7bffbj8Efw4vQtV3/t933327pPDjp7SPsYwaNcrSK1FffYgK3nHyEeZhLf/5z3+a+QKAIAQwgTDdEALMNQ5EivivuuoqGyPJFAhdeH/uueeSSpwoUblTSZUYN7nvQh+XRCH1fKd00reuv/56SUH60+MHNbK2ttacOEgk1GbUEZwcGPmod6hwIHFra2tR1THmoScefXiqoqKioAui5xFVne8w7h//+MeSutXPLB5xTFDuhYYCjyASCQfbtm3rE4+o1kh91gn1rbq62hIu+Iy/JOrPmjUr754gyuc//3lJ3WtLaSHqIYkAOBl5TVgJRGE/kGSCeh7PFX/R1jxhjoHaOKvQlhYuXGgJPbyHoxKn04033igprCmhG7SnMWPG6Je//KWkMM+YFaj7FK/gYI1DZ1JIi3z3u99t6Z6+GINxZlFC2ESJyohKIqzvDgjSxM4e/seu4xokOAY3XQGxZbDJOjs7TdqCNjg1MNK9ix1EAGFwp5966qnmeidswdizjHnPoy9Di5uweR6RoKTQYduRPIBt3dHRYbYp0tfzyF9sXHhkfHQdPP300wu6JPqzdWIq1gdaCvZhdXW1fY9TD+KEGCloFNhbIAkpeblczpwmINYPf/hDScGehP+s0/kIEc2cOdPsSJDJnwDgyadO4tAhHNe/f3/7H4Rnve+9915J0oUXXigp+BQYJ46mOXPmmC+FPc1zsPFBXBoY0FAPZ2R82gOaDw415ph0z5tuuqkorwlhEyUqI+pVaqK3leJT2ZCCSBeC17yP9EYCkyCAh62urs68ktwXCY/njuR6JCy2LDYs9+zfv3/BOapxwoFU2CKzNzwydqQ0PGI7YduDGs8991ze67q6OrOvuC9Ih82CVxUbDg8nPBJ26CuPtbW1eR5U1js+aY1QBmODP+w5Ui35HF6Yj4aGBkNnbD5s8Pe///2SCk8CQFtBq6LAo76+3rQc1puEGjy9LS0teWs4evToLikgHdd96lOfktTtqSY1MrZrpdDWBw8voRiS8NFE4m79rCvllPhYmEf2hT9F4uGHH5bUrbWxp0Fp33wgnQ+bKNFbgErasN5m5S8Sd/DgwSbdCchjI4ACtFNB2uANxf7ZZ599LL7KfX2bSFqjkhoHAiMVafD98ssvm6TyjbiyGnj1hkfQAtsFXkECeOS78Ehscb/99jMbFXsMTyZjx9MI4iCVQTPs+FdffTWTx2Lki9KZW+yqiRMnGn/YVUh/vKFTp06VFNYQPwTIcuSRR5pHGf6wyVhbPKzve9/7JIUkB3wbU6ZMkdSddO9PCWTsWe1T8MqT7MBa33zzzZK6kRfeGCfzSTycNEb8EYwfbePee++1kjvmxZ+qiI3LPbiOsrtIQ7C9w1h5PrZ+FiWETZSojKikDVtRUZFXehaf4fnm5yYpSCND2qDfY6vhlfPNwRcvXmz3BdWwSWlBSQwTGwBJitcY5FuxYoV53WiK7W1Tb8PCI6jtm3IX4xHU4rnYcvBB0j9e40WLFpmXFvTA5vvmN78pKTQpI7UTOxhvJc9atmxZn3jkGAvscLQDpH91dbWtkS9vZA1Z/7hcTQoe1Ndee83Wl/HSTJ0iABqlwRfaEWiETTtnzhwrIMFj6+P/vgnBhAkTuqTgacdLy5oOGDDAmsKxZ0j+J0LB2nEPijOgpqamAoTHD0MqKnufPcQag6x4gFesWGHFIGRNkeHEusydOzfZsIkSlTv16fQ6bJ04yRy7hlgYaIO0xgY7//zzJUl33nmnpNCCo7Oz0/I7seOwc0iUR7KCDr4VB+gzYsQIy8H1sdqs5H94RML2hUcK1/FykxFEeSBe1o6ODrOZ+Aw70GcIEYPExgTN4X348OHmcWUc8FCMR28HoiWAzlVVVeaNBfVAHWxXMnSIVdIwDSRub2+3NSSD7ZRTTpEU2p2CHOSL8yxsNrzi+++/vx555JG8scKDL+aHfEQCzzR8LV261LLhGAe2LP4H0JB7oNVRpPDggw9ajBmeVGg5AAAGWElEQVTvs9cMmQ/2J3PM+GMbGM2DHHx4QAPIooSwiRKVEfWqgN3n2cZZREgVf6QedhYxNGwzPJp4GG+44QZ7D7uCVqhIITyNxMhos4KtAnV2dhacEo7EBDmbm5uLFrB7Oy3m0Tfs8ufSMgeU3TEXxxxzjCTp61//et6xEbwnhXIzpC92GzE9JH8xHlkXtAg89jGPNGEDqUEdeGpubjYPJR5+bD+K0tFkaByOJxh/xMyZM218xCCx1xg/75NZhJ3605/+NI+/zZs32/OJ7fvyxgULFuSt4fDhw/MazRGPpS3MlClTbG5AVLzS7E/fnI3vcq/m5mbbS4wLwpYFWfkuGhCecGzbZ555xip34B+EReP44x//mGzYRInKnUrasOjs2Gg+ZikFiY0ujp1H3IvYFJ5TvIhI2h/84AcmfbGzQBm8l9zTZ8DEhxJL3UiDvQBSgj7Firt7yyOICeph1/ijFS+99NI8HrHnfvSjHxWc/E31DSgJjzwfNC/FY9YhzTFRWcN8e9u+X79+ZldSUYPHlnWglpfGAtjKVOs8+uijhmCsIdoPY8LuRnNhHkAt0LOxsdF4Z53RTrK0QTzQrAvEvmppaTEescuxL9kn7FO0B7zF8SHd7BFQl/xnmsKTteRPU2ffklewfv16q+TCz4EWwTpnUULYRInKiErasFVVVXndGHy8r3///iYhQQakP15icjZ5jXRGol177bXmOUUSPfroo5KCrYDUwwOMxPVtXeLKGn+MIV5Yn4daXV2dx6PP6SzFI9UhIBJeY6QlPH75y1/W7bffnjcOPKE+EwkkQiPoC49RZY7xiH3nveXwO3jwYJtfUBJbi44ZIC1+B9/m9PTTTzcfBfcngwibEPTxMXSvUVRXVxuvcbWNFPbDokWL8tZw//3375KCDwS7Gft00KBBlhuML+P444+XFFCQhua0JQKB8VPU1taap561w2vNNdS40iIVexSPP/to27Zt5pdhL1PFhY/j8ssvL2rD9srphJODa+ONi0qH0c6CcQ2bGNWDv0zIoYceaj9m0tdoy0FiPBPBZGed/Tpy5MiCFDzGnNWXmMQJaHt4ZKPwo2DDweMHPvAB45GEEX7kFDjgUONHw+KykbeXR4SuJ56zZcsW+yGgljJufjBxKWQ8JkIzxx57rBUTUPhNUgXOFe9cQ0igqjL2/fbbz56PaeGT6H1f4sbGxi4ppDvyDITf0KFD7bv8iJkz5oEQEnPKDwfh9eKLL9p9cSKhvjIf/Pj4AfMDR7VHJY57S3N/eMXsuv/++5PTKVGicqftQlgcKOvWrStoAAYhQZB6EOjDPTZu3GhOHSQWUgc3vW/NAoF43LOrq8tQL0uN9QibxSNu9rVr1/bII2qtb+QGj83NzZk8+kJuz6MPT/WVR1T+uM+yFIoMnnnmGfvM88m8ozb6ZgCofGvWrLFzZHwCAN8FUUl3hOCfZ7W3t+f1mZbytYE3eSh6tg6FFJQqUoRx//33m/pOggbON15TWILWcNFFF0kKZX/x2ONzieLX/AVZ2fuoxGgwI0eONA2LOcRxiQmZyusSJXoLUK+S/+1i1/yrtrbW9HakPJ/5szx9QgPos2zZMvsMqcc9fbgCW9K3PYl5QDqDVIwj6pZf0ob1PNbU1Bgq+ZCPR1zPI2izdOnSHnmEQLt/F48DBgzIc6oxh3x31KhRho7YrN5mZCwQGgXo+eSTT9o1hDyws337GvhnHD7dMJfLWajDJ3KwDm1tbXkTf+SRR3ZJwaEFr4xv0qRJZlNjK2K3w6P/HYCWoHtnZ6d9Bx8L44qdScXujbOUeauurja/AKm7rAHfffbZZxPCJkpU7tSrJmxIGwjpuXXr1oLzYeMO7lKQXOjv2DaxLYNERfphK+FtI0GBe4FgXiqOHTu24ASzUhpEzCP2MogXF5r782EhzyOBeniLE7njFLdSPPL8fxePIBloA2Ervf766wWd87kv4Rv4JCWUFLy46J8icjy87BEa0uFZ5V4+YZ+5nTp1qoWA8K5yjQ+5QaAT9jB/SUZZs2aNfZdQG5/RZpXTDigKYP6hESNGmB8CFOQehGRIhmHc3APe4qIK7Fz2SE8JE1BC2ESJyohK2rCJEiX6z6KEsIkSlRGlH2yiRGVE6QebKFEZUfrBJkpURpR+sIkSlRGlH2yiRGVE/w+C+xiMMy8O0gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 1.109, G:1.072\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 1.185, G:1.111\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.078, G:0.9146\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.028, G:1.366\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.319, G:0.9179\n"
     ]
    },
    {
     "data": {
      "image/png": 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GlEalmDb2JpIg7G7O7lZOV4LwOHZDyAhI3tdee83Zri+//LIkb3+x+5533nmSkjQ3vMYvvPCCNthgg4L5sGC+8FJzfeace+zs7HQkBWzP3kJ3Jbbknw086Ugf7HxsV0rGUEqG1MH5BSsFbSdAEiHSjuU5pIQRpBGIPuVct1LtIUrYiIgaQrcS2ENCfVaHddgw999/vySf9Izujqd1ySWXdPYttgHeVYjj0PRuuOEGSb7/DPYGNMdJkybpn//8Z8E4QFA4rGCbrK+vz0tJTyh2yfDhw12JVFLi/u///k+Sj6XirWVe+C3axoMPPugkzhZbbFEwPiiKJDwgrbH1sK0feeQRSV1pamgpgN0aT3Kl1MQjjjiiYAzYrkgMytvA7KlEKqCNYJfi0YdZhrecMbz55pslz7+wtOoA3en/WgrRSxwR0QdQ1IYt1fGtvr7e/R+bC88t8UPSlbBDsRlDZo8lgJ988smSfGFxkgOwe7F58S5jQ7z//vuJOFsW8waw0xOvtV3WP/vsM1dQm8LhXIN7we5FOgLOcfDBB7u4G1KYczAuvMSQ5kmVQzKjdYwfP955XoEtbF0p0H64d2x2vOPY6niqGTNzN2fOnER6IMwlYumAGDq2LZIVraGpqSlzrRY27LLLLpKSievcE/OHtlmNoulRwkZE1BC6VSKmnKRb6wUjSwd7lDjjcccd546lBSO2Ipk0dC+H78v1sTfLsamyCni1trbmpWSqHsc3NTW5dhnYrmSv4OHM4qMi+QYMGJBIJ0Ny4o285ZZbJHnONRKV1ibYvnfeeaeTwtiDNu7X3fQ6fs/8skaMCcYXrUiIR48dO9aVgEHjokwO2UfAPjvdsfsWtA1Lb1/WH286zcmq0Zoj2rAREX0AFUlY7FPin2m/ZVeGZ2zzYPmeAl8TJ050NhJxTEqCYleWSjbGo5rGbbY2rN25Fl988Xx4LZtl1NLS4mxX7G7bOiQofibJ2y6XXHKJpC5WE/dQyqYGtqg33OLPPvsskTVFCVEKofU0W4c8W/jNaDbML76EsGAZxdfQRrbZZhtJ3r6jRAz3Yxs7F0M1ucTVAPOPVoYtz3zwPOC1LwdwivF1RAkbEdEHUFTCNjY25qUko4kdr7W11e0y1jaz9hBeROwvMnPWXXdd512lUDU7FZ5lK/UsiyncgYnJwpayObOlcin5l1hqc3OzY78gRYj/Ij0YFy06yCoKQTyS+YL5hMcbWK6tbX0yc+bMzOsx99XKh+WatFIhDkt7ixdffFFSlw1H7BYP9n333SfJlxOFtUb8nXh5d1CphA2jGYCyOpTxKYcZF5bTLQZbrrc7yJKwPa78z+Ii/m1H9rROZ5JfyMbGxkQl/XIq/If/pk2k/S6tZu/X1y/YlHgZwnGzceB8geDBRkMSAJtQWr3kSilodsMLw2fMOaYJx9Jz9pprrqlK5X82KkJMdjMjUWLTTTd1TjFeRFR/qkQytlJpbf3798/s2g7mh0pcjDpoTaGsZ60niCpxREQfQLcS2NPCOlkSoTeRtgta0ry9P7tzQU0sltAAoC/iZEDylJtokIZySeBhMTubsFDsHrOkT290Vks7fzCmqp17QTmdbM3rakjSIteKEjYiotZRlJqYRZBIs0Ns1fNSZUYrITtkSfa0UiI4N0jjKuUggPAO/TAsRRleS/IUMwgDOJKshC0l5UNY0kMR21tSl/2IfUj4BSpcJQXFqiHxihFoekty9zaK3VM1CBGlAHkoC1HCRkTUEMqyYYtVw+9tW6ica4XS3I7RhlNK2bDQIkn7yuVyrqcrpVnsLlyqWLm5XsFvs7QIWw40lNq2txBhFgj1PQ3rLOxY0MSJckFSCN70ShBt2IiIPoCiEjYiImLhQpSwERE1hKJe4oXVNugJrG3Qv3//vOQ9vdY7m8/nM4tPZ9mffB7atNaDa+3drKQA2EYUBOjfv79jONlk+GpRExd2ZBWDz/K419fXZ8bK0/oAZ8GuN4wz/CS2dA8YM2aMJOmggw4qec6sNFAQJWxERA2hWwnstQy7O9PwK4sfGkpCWz4mKynC7pZhe8EsBhA7vS2ATs9R0tGGDBniSo0wHlIXKVoX8qW/CWsIH5xyNKQ/pkU1YKmRVJEV07/55psl+ZRFqfKISDnHw5679dZbJUlbbbUVv4kSNiKi1vGNl7A2W4fMG8qKNjQ0OPuSrCK7c1sblhQ/EsCbm5udjWQ7fGfFlPmXFo/PPvuspC4bdtlll5XkGVfBvTDOb5SEtfdo4+KDBw9ONEWzcfdnnnlGktd0aA9De5avr8P1JXnpaJ8LSsXANecarGEul0vE2ylWSEmgjo6OKGEjImod33gJWyrnt66uzrUPRKJROI28zaysjdCrXKpwHd/DaOI4WxAg9FrbMaMJzJkz5xspYbMYZ7lczrUKKZU4DysJllKId999V5JvO0LLFEoIUeCeljPw02HNlVO+laIBX3zxRZSwERG1jgUuYcNqDG+99ZYk3/qiN5DFJc7i8kpK2LDBuQq+p8TN73//e0nplTOwMzl/dxoLM0Ybuw08nt9ICWtBaxfagIawGg8lbqZNm1bwedr7gRTee++9JfmyR3ipn3/+eUleO3riiSck+UyctAokVjvoVomY7ix2lrqWpRKmXZ8XA2OdrnHVQLk1nUBnZ6d7yfgX1YgX8n//938l+e56m2yyiSS/YEsvvbSrZXznnXcWnIsubjbBgnk655xzJHV1+ZO6FpaAPY4sO/b5HdZpbGx0DxoqHYQP5qqaBQ3sGl5//fV5yZehKYa//vWvkvyaUY1y6623Lvjbljaqr68veOEkH/J56KGHJPlet9wrdax5LnBojRw50plXEGJsn9rodIqI6ANYYCpx2FsGacNutvHGG0vydXAJhFcDWSoxfUD//Oc/F4wln8879z1zhfQYPny4JO+EePDBByVJRx55pCRfX/nVV191FQap5khfoIBOWDBOQkPUakbdbmhocOECYIulzS+VOCSGjBo1SpIPaUAEsH2IrKZFQbu0mtJZmJ9F2AKJ577DBNlzzz0leUoioSNqbyN57bmOOeYYV3zAXi+ruieIEjYioobQaxK2FC0L/X6VVVZxx2CTIdF6Izne7lz9+vUrIE5YQsMvf/lLXXPNNZJ89XrqE9M1HGmI0wGyN4nvU6dOda59AuRQEJEsSOmPPvpIkrffcWCE5VdtfWZLRm9ra6uqhM2iXBK2OP/8810f4IsuukiSr0uM5vKXv/xFkg+BnHnmmZJ8HWPOOWTIEDcHWciilyK9WSd8H88++6zrVWTvBfsSuidOJxxJIaEfu5dOCGg/9BGiDjF1iel9dPjhh0vyRRRGjx6tESNGSPLSGA2FeWxsbIwSNiKi1rHAbdjVVlvNedfWXXfd3rqcQ5b9Y720SKsBAwZo5ZVXliS98cYbkqSrr75aku9ji/Sg5ww7K1LzkUcecR3O6OaOvQm5n6JxSCDI6Ratra0uEcB6hwPPZo8kbJZERYLwN76FOXPmOO1o3LhxkqSTTjpJki8cTwE7fksHvO5oT6U8/ZwzpAja67DeSOO3335bUjLNjm6L9AwK8eijj0ry6044MoucQbe7f/zjH27dQ+pjeA8xvS4iog9ggUlY+sKE9gp2Hbp+T3qTZKGUh9FK2kGDBiViiJQVxe7BVoKShlTBPjnmmGPcvbFj42HmOniP1157bUnejmfHD+OBNqhPfA+qZE8lLLAe3e9973uSfLyRmOvZZ5/t7HzGgtSBVM+alhOHL4X54SUm/k3s9dvf/rZbK/uMsN7Wp2BhC/AVOzZ6iSMi+gCKlojpTSBZc7lcYtftiWRN8+4Vg7V7wp6nUqFNw056/vnnS0omAeD5vP766yV5Kfniiy/quOOOk+TTtsLmVuF1kURcy45zmWWWcZ5MpDZj5FzVAvfH+pDqhxaAzfavf/3LpSPi7cS+gz6Jt/jpp592v0lDY2Njxa1P7Bpaml9dXV1R6mkIbHDohNi4ki9zS6kXnlObMlmq7MwyyyzjGG6VMsCihI2IqCEscPK/5HdbyxgiZllNZBVhg72CbUnZFWJvkrdJ4QPvu+++krwti1Teb7/9JHkpedxxx7n/w5NGKuM5/OKLLyR5bjFI89imFA6XlM5DzfKgVgJ+i+ccCfjDH/5QkjRp0qTEb0455RRJ0qmnniopWYKnWNJDqbHaNRwxYkRe8rH9ngDtAU0gBBoHKCddTupiukme3dbc3KzNNttMkn/28X+kxdJDRAkbEVFDWOASdtCgQY6DSUkVWCm9gSwPY9bOH2ai8B22GxkX2I5bbrmlJM+PvfLKKwu+l3y2CPHWjTbaSJK3XW2JGuwgeMmS34UB49p2220lSbfffnuvcIntHIW2G74D4serrLKKJG9nE4eG2dUT9lq5cdhypLnF2LFjJUk77bQT53bf4fEmUT1LE/j4448l+cwftCnKoXZ2dpYcW/QSR0T0ASwwCQvfEjaKJG2xxRaSpAceeKC3LpvJJbYxNKRiOD/shssvv7wkLzUonYkneLvttpPkY82zZ892fOO99tpLknTwwQdLkm6//XZJ0qWXXirJs6hWWmklSd5uLtZEO8UD2isS1nrFae3Zr18/x6OmCAExWyQV5TurAbuG99xzT16Sttlmm26fMyhgxzUkSU8++aSkrnW57rrrJPn1xu8AsgrO2yLy+Xze+WdgRdmCevMtgb1cpN0cZPqdd965ty5bkpqIOgt1MK06AIDsgPMFoj5UxcMOO0xSVyU8HlwSB3gRuX9+Cw2SOaCKnq1XHML2o60WccJuCKi9PLi8lK2trc6swVlHiiQmAHTKaqCUSvytb31LkjRlypSS52J+2UhJuGcD50UO63ZhnhCiC8ZV9Fpp3SR4mXmBEVZRJY6I6ANY4BK2vb3d7TLXXnutJGmfffbprctm7s7U5yFwHhLs7RxBiCCMg4oEsQAXPeU/Ojo63D2OHj1akq/7hIRFQv3973+X5NXt7bffXlKh+lVJ2KMaYR17XSQtYaVPPvnEhZqs6p5mWvQUWWs4YcIESclwYH19vdM+cNiRbAGFElX4xhtvLPg8rVoljkBMBGiM1I7C2cQ5V1hhBUl+TdPmwpItooSNiOgDWOBhnXnz5mXW9bUF0aqBUsRxxsLuOXv2bLczQkXjO3ZQiBKQ4ouVF0E6Y+tRsI0SMBAsGAfF26ByNjY2uoA90gv6H5g1a1avlohhbBABNtxwQydlbMiJY2waWU+QVVva0g6Zyy+//NKFm9AOkHqEavApYMNCoLnpppskSbvssos7P6E3novTTz9dkvTTn/5Ukg/RsdZcC6k+dOhQR5DhNyT8Z92ju9fUGYmIiFgoscAlbGjfAUpO3nvvvVW/XqnK/0irsGSMnSNL8ubYrJ47kvcoQtzH04qthHea3xAmwSPJ7t7a2pqonVusgNf8WMOmpqYETc/2mcEGr4YtW0pLgrQBVbGurs7NJ6R+tCTmDr8DnmXIEfQxyufzTkL+8Y9/lCSddtppRcdpqZz83dTU5KSw7fSQVls6RJSwERE1hAUmYdl1ZsyY4cp0BtftrcuW3J3ZBUNpmUUfsx3Q+RfbidhpR0eHkyzLLLOMJC9pse0ogn3uuedK8t5hvIbYYHPnzk3EXe0aVisOWwpHH320pK5YK0kSrCsSzBa1qwYqTWCfOnWqSyyhTxIRCTz7kP2JqbPmIaEGfwKaH3ZuFmx3O9Yrl8slCralJPZHCRsRUetYYBKWAl4UJTPXrehctmRHMZTrYQxpeHhyIeTbUh+XXHKJJOnAAw+U5ONw2Cn9+vVzNiqfUZQMDyM7PYkFzAteS3q/vPLKK27HJvZJ7DYofzpfJCye1bvvvtulCWLLQnQvZ00qRbkSljUdMGCAYzKRIIH3Fyoox2Kn4sWvBHh+WVtL5cRvMWXKFFfAL6tfcJSwERF9AAtMwqLfz5o1KyFRK5WwtotbMWRJWEvoDueFXRDph+0yfvx4Sb5VBrxTWwz8b3/7m7NrsU0pM8N1kLzYvTb9jiTxlpYWZ/dk2bLzy0vM9UeNGqULLrhAktcEkDJZZVJ6gqx2K1m+hrXWWsuVqMHutnj44Ycl+RI3Fh0dHZkleJCgFNiDccW6kKRO0shpp53mysBm2fhRwpu/UjIAACAASURBVEZE9AEs8DhsGOfMYjxV+Xqp6XXYhcU4t0hhpCASlXgs5yB2R6rZjjvumGiyhc1HwjQSmHSriy++WJJ01VVXJcZlvdPYib2dXmfB9SZOnOi40PDAbRvFarZdsWvY2NiYl7Lt5dbWVlekniiALQaH1561s1reJ5984jKpbOMu/A/Yv9iyllcdaoIxgT0i4huAiiQspVueffbZbl+QEqBkNsydOzc157C3kNVIyZYdxQM6bdq0xG5LMyTsHoqxPf7445J8rG///feXJO2+++5ud6VxErsxDKjdd99dkpfWSPE0e95qJHBbsZ2K2bDllE2xZULtb5Eo99xzj6Su54IEfJLIq+kdRioGyeUVSdgw48ryuymgB6OMBmZ43mnRQVGCngC/TVpuM88MGlaUsBERfQAVVZ7uiWQF5FCGsVN2O3Z02ECl2g5WA1yTjApsGuKm06dPd+VaaOBE2UpKYlLa5tBDD5XkJSAVKerr63XXXXdJ6mprIflyMti5FKxGsmNjpfGYkbpoJkj6clBOQTLizkhsvJuTJ0+W5O09Kk68/PLLTgpSovbYY4+V5CtO9MSGRbJmIUuyhkXlkWBwhdFs8C3g6UWyglCy2nvIKhVTyTg5Z1YDLYv5XvkfShYvyoorrlj2YHsTdJxjMVCR+vfvn6h3i9OBh3S99daT5NVZyrtQqmTzzTd3qjAPBGEcwiBU2oMoYVPnoCauueaaeuWVVyT5OeTFrbSKfBYocWMJIvxNpzfCS7fddptLD8zqL5P1olbDGWVVZlT3sPsDRBSeNa6Lel9OKNGOsdwXFYQbT5ZpUqp7Q1SJIyJqCAs8rDO/YY35gQMHFoR1bIeyefPmJQq0EcKwPWAgUFDADSdDa2trQbKD5HvL3n333ZJ8ehfSEmkG8YD0sJdeeinhnLNpdtUuwmbBM4Nkq6+v7xWCRBbKrUuchiwqYG+iO1pEdDpFRPQBfOMlLH1ZcP7Ynbd///6JWrX8C/0OWw4pigML9/20adMSv7WpVxDFsVVtMgJ/DxkyxElwtAGkMU6gp59+ulfKnDIGnC1oGvMbdg1ffvnlvOTL6cwPqVkJ7Dw2NTW5vrPY/pSFRZsLEzhCRAkbEVFD+MZLWFtIHCkS2qfQBvHs2pKU7KB4dAkRFCMpQO7H42oTF+xvsW033nhj58UFpNm98cYbkuYfNXFBIWsNsalZn5BC+Lvf/U6SD6f1BKVs0lLJKGk9cEkooQNAtGEjIvoAikrYiIiIhQtRwkZE1BCK0ioGDx6cl3zbijSbDA+lTaOyJGs8i7BP8JK2tbUlbET7W8v+4HMSyvHw5nI5d168rbZAWtid/OvPFyoVg453PaFlhvYPyd3Yd3idmeNll13WJSJgczFXra2tBZ+zxni2Q3qpLV4H2wt6I+l2NiXwzDPPlCSdcMIJkrpKlGLHQSe0DaqsB3Xo0KF5yVMmQw+/1OVTsH4E21Uev0OWfyKfzyfukeswTzCfbJwcqmfoe0grMi8V+EGiDRsRUesoasM2NTUVpJ7hqQw9XOyy/MvOlJISJclzOvFodnR0uF3Mph/ZhkrsRhT4Yhxhh/SQoyz59CnGPmPGjF6XsPClaeUwvxFK2PXXXz8vec0GacV6zJ49O6EVkXzBb9B8gGV0NTQ0uLUK2U9SsnEU0prjrCe1vr7eretmm20myfOvSQxva2tLLfNjUyOJj0vJVpSWs229thRnI92us7MzkXaYVrAvvJb9PEzxs4XrSSC58847OXeUsBERtY6iEpady9qpIfPF2ohBqc2CY9lJkLgcN3fu3MR3thu25X9yLSQBKXENDQ2JcinYJIzH7s4Lmw1bDYQSluRu226R+Rg2bJiz/WyTLZutw1yyDvg26uvrE9oQpV45BikNCwzpPGLECEldKXpSV8wbqYymRdkWnoePPvqoaLsV6wdYbrnlXCNtxsc8UCiPQuhIZ7Q95qa9vT0RZ8d25d6yuNc2PTOXyyVsWOKwaBFhQ7OCe029QkRExEKJohK2f//+ecnvxmmSjs+st4vPrY2A9Aw9klbnZ2e13jabJcI52PnmzZvnjrFewUCi95qErWahsZ4glLD4IRgbUorMo3nz5jkvPTa3XTP+vv/++yVJm266qcJz5nI5x+PFN0HrEdYSjy++BYoAnHfeeYxZUuFzZMcRlMZNLfPD8dZv0tjY6J47W3rHPlNcA82Av+fNm5fwfGMj0/CL9h+77bZbwbiJWHBvLS0tCS80zyvz884770QJGxFR6ygqYSkBaisOgPb29swsFHYQm+FBrIodr7Oz0/2GXRo7gmbAlPzkXJwDjx9VBAYPHuy+s1ku/NubEnZhQShh0ZKCNoaSfJvLRx99NLHLI21s4TLmm1IxadUl8OBTEpTmUrRo3GCDDQrORemc0KOLxsT5rbYU5vtKSS4xv1t99dUlefs4BJ58Mo4oZPfoo49K8s8Lc7PEEks4jW7ixImS/DPMuYgl03iLJs20cNlpp50kSWussYYrnQOs5z2LS1z0hR02bFhBQBqRHjqY+Ax1FkMcNYCb5KaoD8sLtcsuu7gXlJc6MLwl+QniJnFo8HJSJ2r48OEu6G7d9GBhJ05YZFUwLIZwsZdffvm85B8E6jPhhOno6HAqJGortap4+XhBn3zySUnJZP/m5ma3JoyTCvs33HCDJK8io04yHtaeulRDhgxxzwxhJZ5RnE+TJ08uWMNDDz00L/keRxahM4iKl9wT5BvUWPrfEA7kvnbYYQfndOPfxx57TJLvoo6QYrzcE3192KQGDBjg1Hee11BdlqQvv/wyqsQREbWOssI6lsYVSlokGcdYVcKGYrbccktJ0uWXXy6pq1I85VJwsZMWxQ5FH5JTTjlFkt/hFl10UUle1ZgxY4bbna3kB3bnmt8S1gbTLVAHCU2g7ofmSCnnVlpYB7WS64clXZCkfGbTw6xDEXWX49977z2nHqLa0sEcJwolcKAo7rLLLpL8c8D95nI5dwzSBjBnWVqSDT9yz3V1dQn1nuIDzCXX5DdoGTjYLr30Uqf54VjjXtH8oCDyTtABD02RvzfaaCOnadjUTOY6JrBHRPQBFCX/20Cw7T/T2tqa6DOChGXHRSqzg5JAjORYf/31XRdy7AiC6xDDf/Ob30hSoos2dYDpGvbYY4+58qTsVEgBgtcLCkiLP/3pT5J8FzuIA4QGsNeZR36HA+XOO+90dlc5di1zBYmAWr1Q85ZeemknKcKOguHYAIF/JAg2ZmNjo/MjnHHGGZKks846S5K01VZbSfISlu4RSBvKvGLTLbXUUk7aEGbC9iMJ3cJqd8wlpWPHjx/vSrIgYSHb3HjjjZK8E26VVVYpGA82b0NDg+tWseOOO0ryvp2wh5LkQ0J0N+T53HvvvSV1FSFgXigRw9zzDmQhStiIiBpCURuWgDQ7Fzuf9YZJSdc7bmq8bHjScJ8jLXfYYQe3k2JXEFTnGLx/XA8y+G233SZJ+slPfiKpy+Z98cUXJXkpYEME88NLPGbMGEmeOH733XdrjTXWkOS9tHg82fGpSA+wcZ544glJ3ibccsstE0XR7Nyn9daxIQ/G8cEHHyRsVHwDaFT8lhAInl2k5nLLLZfwXUBQYP732GMPSX7NQvsynAfJRxq4Pufi83//+9+pa8i50CIYbz6fT4S1eC6ff/55Sd6Ty3yjvUAqueWWW1yRO+4JaYy2xDnwjEN3RAul99J1113nQpVIYxBQe6MNGxFR6yjLS2wpie7HuVzCjmKHwIZlhzrxxBMl+bYWdGv79NNPnYcOYD9g3+CtpBQk13jkkUckee9hW1ubk8q012DHD2hrvSZhsYuwz7BxBg4c6IquEf9EWnCP9HD5xS9+Icl7IpFMYaoeXl2b9gbSJKxN0ggpeTbFzXYTtJEAvKV8PnToUOeTwBZDCj/wwAOSpCOOOEKS79qH1EbyhYn1tpOgjalb4gSaoI1IFLPx4QXAF+BfwH0giUeOHKmHHnpIkrd3kZz4Tbg+/AA88laqT58+3c0PvgQQJAVECRsRUeso6iXOaoYUlsiwieo2qRdpA2A6hQnvWSl67PQXXnihJF/O89Zbb5XkyehIiC222MLRwew5e9IoKivuyb3jgeaekZbQ8CZOnKgjjzxSknTwwQdL8t3dsNv3228/SV6q4Vm0nvpJkya57u3lwNquaWuI9MfTaxM1+JfevtiG2OGzZs3SMcccI0k6/vjjJflowEEHHVRwPeimNPQC3HdTU5Pzxl5xxRUF32E7WoSpmuFxrHm/fv3cMUOHDpXkmUy2xUhacr7U5SEnnZP5oUQt5+a6FGmAEonE5ZyHHHKI62IIbJGGLEQJGxFRQyhqwzY3NxewZGwcNvytJfmzcxF7olcqsTG+D20zzrfhhhtK8hKKshn08qR1Iw2ikLidnZ0uBscOasvb2OJW2Hikm9m4cjlAumCXYK8TX8abGIKdFAnE7kwn86w+rmlFqC1CG5YCZcRhuQ7nTzuX5S9jzxEzPPXUUyX5NW9ra3OJG5Y7/txzzxWc2z47lvm1yCKLuN/iE2CMQfplwRput912eck/J+V0mbeaIeC3SOKnnnpKUpfPhZ69NvLAv/hr8ENceeWVkrzXmDjt0ksvrVGjRhXMA8fgn5g5c2a0YSMiah1FJSwlMq33LUxZsw2ZADYYttof/vAHST4Ox07S1taW2GVHjx4tKVmShDgYWSNkS4TlI7EFslhaWalZPQH3jleYOCZoaWlx88TuSxyOeyN7BM0AT2R3EEpYUiSLJfZndTi3MVI8vthoaDOff/65i5WiFWGTwxNHCqGB2eeGeGQ+n0+kaDKfrO3HH39csIY8p7aBWBpvuhSXm+9XXXVVSV08AalLS8Km5nmztjK8aTQsisjBXttzzz0ldT3zWUUCAt9ClLAREbWOohKWZse2rAbI5/MJ6Yv9QcwUyQE/GLsEL+GQIUOcJMWjjPRlx8KuY8cCxGHZnefNm5fIxuB6QSmbHktYm2EB35RsDZK22T3XWGMN54nF02qZPlkFvLqDcHeeMGFCXvJzZwtlh2MBtmQP3nmYOswx/7a1tTlPOcfgQSV5m/grXmKkJtInhPXoErsOxlswWcstt1w+PC7Nx5KVPWaf/6233lqSL/BHgv2MGTPce4A/JK0ooeRzXHkGmfNw3tBEkPSwotKacocoGtbBgcALZOsFh+DhxeUPQZ0Xlno411xzjSTvIJg5c6YjYOM8guLFsTwwqCeokzh5cBT179/fjRn1lMnKUoG62R1bknd+ocLz4toK+vl8PvFCsrikqvUW2ERYQ1vvKA18xwuDipp1D5MnT3bOQ8gBd9xxhyT/EkGUQSVm/Q8//HBJ0vnnn+/OyXVw4rD+hJ0sIHJk9a+tq6tzzyzjI+EBQQKBgd+yWd1yyy2SulLiAC8klQ7ZfHAyYipAbOH5Zg7mzp3rKlvwrCCcIGFkIarEERE1hLKIE5Z0EEoOdiII1+zG7Lg4WdiV2HUIIn/yySfOmGe3QZ0iNYyd8rDDDpOUTJ2D5jdz5sxETWPGnqVyliLSFwOueJxhnAOJwI6bJmEBmkBvgTWkRAvmBWhoaEiEdvgN0pH7mjRpkiRPBMBRss8++7jz8lvWjLUhBQ1NDK3ooosuklRYPZD/h/WmpWytgDVGzWScITgnauoBBxwgyWtrtmQLaZCML5/POy2FECDPIY41HKqkHSK9DznkkMR4rGqOhC9lGkUJGxFRQyiL/A/YhZBCYcVDSOyEI9jJkDLQ2CBQQAa/6667XHI7tDYcUuyCEA9IOUOK8jt2YilZ29imVfVGWCcL0PNIxE9DVmJFT5BWIoa5QmriGHviiScSdDx2eew5yA/Y6pAwSCNce+21XcI69iTSB1uRVEPqEPMsYetCvh84cKBbu+9///uSfAmWrNrSkP9Za2zfsMQNaXP77ruvJC/9OCc2NamaaADYqePGjXOOKBJLSHjAccY9kgoJAejee+8tmLf6+nqnaTL3YdVIKYZ1IiL6BMpKYAfYqeyA7e3tTkJAtWIHx95kB2XHJZUO+/ODDz5wgWjOhYTFVho7dqwkXxjrggsukOQ9n+zOm2++uTtXVtrfguitM2zYME2dOrXgM+YDbaGaCHdn6KXYqUgMvJFNTU3Og878M6/Y4mhL+CUgw1DpfsKECY7oji171FFHSfI2LMBjim/Dhojy+XyimBrnwDa0nd3sGlJShvv6/PPPnUefYgg8f3iNiWJA+KFIQliWBrscaUgqJ+PketjpaJXMG97jU0891Ulj/B8UXgg0wihhIyJqHWVRE21HOmyc5uZmJ23ZlcNiWpLfjZCO2A4QqWfPnu12HuxhdrL9999fkrehKHuKLYAUxQ6YM2eOi7uSZACqSZwoF2EnPev9qyZRwiItgd32KcIe+/TTTxN9TW2/3nPPPVeSjyPih0DCXHjhhW5tsHv5m2eHxAGkD1pSWqkY7G0I+nhuA+phKjXRPsv8/de//tV5ySlyRgyfAgE8l2gKjJPSPUOGDHEkCmiXtoQumiHPIFLbFrlraGhwPh882iljjxI2IqLWUZYNa4nJYQlT22mOYmN4RinURWyVeBM72WqrrebKlbKz3n333ZI88wmPGrYqXmPsDMYzc+bMRMyOv5HG87O3Dv1ksNckfy/Wtqsmwt152WWXLUivQ+KhlUybNs15VW0LDnwW+CWQrKQ14mOYM2eO84Ti2UdL4hi0JAqIc02eH4rCrb766rrnnnskeaoq9iYUVJteRzTD0i55JocPH+60AbQ2nh3Gyzh45n7961+7e2NuiL8C/DFIYdIs0R6RoswfZWJHjhyZKO9jaY5Z1MQoYSMiaghlSdiwz6bkd+KWlhYnKYg5cgw2JIwR4n6UMGWHXWyxxdzuRvoRRHn4pZyTdDp2NEqnYgcMHjzYkcytPYb9XcrDWE2gTSy//PJuzmwjr95AKGFbWlrykpcUaWV/+AxPKq1PsDORVDB5bAf21157zXmSWTuOIS6LD4O1JIaJDYl9OGzYMLeGcHSR+Eht6+nHE849cg20qv32289pOXhlAecm/RMNgPsJC/4RCQHcI78BJKXwjGPbwkc+9NBDnU3Ps28lbLRhIyL6AMpiOtkdCwbKc88952xEPGbE39jJiJ1R3hTP2Q9+8ANJXXo9sUHsi3Hjxknydi7npDgXO3sgNd2Y2ZVhqtj+sNb+sY2UelKszQKmTWjrs+v2JsLdebHFFstL3t6yRQjq6+sTjaL4G08pxyIlib/Cg/7yyy8dS4rkbRLAWQdiunicge3jO2/ePHddxmolp/VD8JymleGVujRBpCD/Ml4ywKzPA6CJHHvssQnPNv8S9+WZJquI6Af3iE/g4Ycfdh5w5ielaGCUsBERtY6yirCxs+HZ4u/29nbnCWO3IX8Q6Yikxf5EAhKn23fffd1Ojc1HHix2MDFeW3Sa8RDfmjNnTiK+SV4uhbl7wiW20slKY7J32MWZp5deesllHllPYzVQrLwIXGLGCvsGiTt79uyE/XTOOedI8l5N7htP6+233y7JS8uzzz7brRVcXLytMLyynjOkOh7hDz/80Nn7zDP2J/M7a9asgjUcNGhQ/uvPU6/V0tLi7oE4LDxoSvIwDj4nUoGN/dvf/jaR+VWK/8268C/PfsgR4BzEr5G40YaNiOgDKIvphGSzbS/CAs02u56SF3jWaEWP5GUn/vDDDx1fkx2bMWHL2kLNXMsWOA9hmT2gGnFYbGdKuBJvxSOKNOU+Zs+e7WKEtkWFRXcqYFiEu3NTU1Mq0wlp+emnn7r5o3wLwN/AsXjl01haaDBoVEcffbQknytqnyGrLTE/nZ2drmQqsWO0ATzrWVqSHReaV1tbm2vXyfNHIW+yy/gtTcXTYDUZbFL8NAAWFXOOz4XjP/7444S2ZrPKsiRsReR/ED5sPJwEh3kgIVGzgKTTIfpZoLa2NrcgpCNRPsN2AMD5YB0EaZUb7QPC4tl6r915YRkPdYxIIYSMYBcwTPTnZa9mOp1FuNj9+/fPSz4UZ6v1DRw40NEUSTJnzXjA+C31mgjl4VTr7OxMdAu0hHj7MjEOHDOhUwwnDgkKrCsOu2nTpqWm1/Hy224Hkn8xCQESXuM5YVMila/cSvzdQUhVtS8qlF5bGdL9tuqjiYiI6DUUlbA4LOwuEO4OWVTA0DEV/pvmes9SA7PqIVvCeHicJQYAdspqJrAT4KdvDtoDTjPUsNdee62q4aJSanMoYTFrkHw2RNLR0eHmCq3HhlOA7Q8chiKsREKjsV3hbF1gW0hP8hLckkuy1EXusZw+Skhp2yEvqxNgOSg3JBiGjJinIs9+lLAREbWOohJ22LBhecmnB1lbMaxLbHdFdk52LhuQ5lwdHR2p9Y6lJOnBSk0rafv16+fsKiSItWWrmcBuxwW1EmrfVltt1d1T9wjh7rzPPvvkJenmm2+W5CVc2PnbEie4H47FriJEg61OeCKfz7u5CB094bntWllpxHGLLbaYI9DQtdAm+X/xxRcFa7j33nvnJV/owCbkh8+N1fyybFU7F5X4HGzCibVXw7S8m266SZLvu8P47HMKooSNiKghlBXWwXZh1wkJy9bryO5hdyZbSjOUqvw/a/ezVDC7K+IVbGtrS/Q7seT/+VmEbUEhLaxDUXA0Htawo6NDm2++uSTfOwfJZD3Ldk1D281qRbZLPL8lhZKyKawPa7j44osnyulQZJuEgawEDq4NcT/sGAD9lWT4cjsBpMF2rwM2zJhVpig8luuhkZLgEG3YiIg+gKISNiIiYuFClLARETWEoq068BJDubPI5XIJnT+M70nl2QTltARJA2wqikBLpVtuWNtgYbNhre3XzWZdCfK/Jfin2Z+Wesp6ZNlmYRwWGxQPrfVlsC42JdKWqjX3UfB3lgfVUmjTkDWPlcxvd9q5SL78DXH7cq4VbdiIiD6AojaslT7FGB0URr788svtOST5XcV667qDSna6Up2te0PC0qEcovn8RhrTybLFwoJ6eIOtdpSSVC3JF8GD65vGeLMe1GBsBddKe5Zs/1UbJehJmR88yKTVVQK8w8SYs5h3WX+ngWOYv6AdaJSwERG1jrIkrN1pwx0kq3s3jYRpnUEGCClTZLSsttpqrnwmu22WFLY8VJLBQx5qKSzsNmw1EN6jLfNjfQvNzc2JGLotDIZmFca7pcIYt2UG2YJ9VsJbhI23bbyd8QV2ctEibCC0xUvZrjarK2ykJXUln5NRZG18e24rWSmpStmc0ObnOhZRwkZE9AFUZMOmfF92mQzKnD7//POSpI033lhSlwSmkPj48eMl+XZ+4IwzzpDUVaajuwh2616TsNVIPq8Gwt3ZlqpFEiI5GhoaMrOxkCBkIfF3mAcrdUk+fouEglNus7jQiiiCZueqqanJnd9KMjJtbE5zVhG2EKUyaihRgyfXanP19fU9zriyTL5iiBI2IqIPoOoSlpgTOZNk8LNrIllp+7fJJpu43Y1ibJSXYbej5TznZKdjlyab5JBDDnGlKIHdKb9pNixeYmsPhrZkVkaNtV35F75rmEXDeSn9Q7uK7bffXpIvKG99HlS1CCtThJlE4dhL5TRn+Voq0QQZD1zn4BruHLYBdrlgXPX19QnPt0WWhC1KnLAd6LISzCVfZY6qdJAtbOoc3dKZkI6ODlfLFkcUdYBIPXryySclSZMnT5YkHXjggQXnoHLjJZdc4tz2vNS2i93CglIVGAkhgDCUUKoeVIiwomR4THgOxkC5H+aMhAGcLVkpcSNHjnQECMrN8C8vme0xa9Px2ATq6+sd2Z9nBdgUTQtLDrGfc36pMNlA8s8rqjxOMNDe3u4+g9RCBUqSDLLUbhsOKmcDyUJUiSMiaggVhXWsAyGfz7vdhB2UWrY2mZjeJXvttZckX6Fv5513TlR/t2NiV0YlJlkedzldBdJ2LnZ+QhXzs7dOCHbfl156SZL04x//WFJSe6EzHNX7qMgY0gZLFQZLU4nTyukA69yxNMOs0ith9UykCNKR54GxQlTgX6Q539PdjmuH5+f6hIiyKl9W4tSxPY6YH6Qg2h0kmFGjRjnNg1rXPOvW3ACMBy2iJ+FHECVsREQNoSKnk7UhxowZ46qyZ5VLoSAZoQESdbMSCkLgxre1j9n5kbTsYMsvv7zb9WwQPat7d29K2FByXXHFFZKktdZaS5J0wgknSJL7nFKplHq1/XZPOeUUSdI666zjbMssiReGrmwhPatxhGV1+A6pg4QgFIM2wNiQhnPnznVrhYaAJrHttttK8hIUicr9Q2nlXMOGDXPXISHASr+Ojo6K1nDNNdfUiy++KMk/U9wjNbGRpGg2PKcTJ06U1NUBgM7rhBkBa3j44YdL8prgRRddJEkubBmMN9OGDXwMUcJGRNQ6uiVhi9lQFIGmh+uIESMkJckQZQ3u690GbyFdBPgbyXvfffdJ6urTAyEd2HS1+RHWocsB9vpXX33lJBpeSfqoUp6FXZiwAjYUkonCZOutt17JsibhPdrufJb8n8/nE7RFNJasDmshYULqksT8H02Kc3A/kF7oUo7H35IzBg4c6ErBAMrK4En+8ssvy1rDMIwCuMfDDjtMkn9O6TpBxIHEDTTEY4891kl+JOgWW2xRcE8UIye0iNZk0djYmLB3UzoARAkbEVHr6BFxIg0QFe655x5JPgmgOyA+e+aZZ0pKT5yWvIRpampyx1hidpZtUE0JS7wS+yeMC2622WaSfBsSgH3IeCGW0AFvn332kVRYlhRplNXFPU3CFktnyyKvo1FZgnroHZa6vKOsO0XVSfa48sorJXmPPskfNkUtTHC33mEkWkCYr3gNbXICXmp8HldffbUkL82RmkjggQMHOqIE46OPFHY70QpLLMG7HRJTsmLG0YaNiOhDqEjCpiXksrO+8sorknx39qzdv+hgvt5drISi5QVdvIlNWipdS0tLoo2Etbd7w4Zl9+aekrw8igAADDdJREFUSXDATt1www1d/BE2F9Ji9913lyRddtllkvzujb0Oywub5+6779Y222xTdDxpcVjLwgnLksLgQRJwLfubLB9Gc3Ozk1BITuimRx11lCS/VtBPkUJ2vb7zne+4TuZIZ74LEgfK6l4XPttEFDjHCiusIMnbqNifeKZ5BsNz0rjLlszBs7/RRhtJ8toR/WAtymE6RRs2IqIPoKiEXWyxxfKSt83SYHdhvGylOLzF0p1IxXvqqackSVtvvbUkL8VJCoBVgwd6xRVXdFLg7bfflpQsPp6VXhfGFCvFSSedJMnH4WB1YQexu4e49NJLJUnHH3+8pGRSOJLHopj9A8LdefDgwXnJe8ltMbTwfCCNb2zHIHkpOn36dGcTch28wgcddFDBOfmtjZPzHGyzzTZuPVlnPOzlFmHjOPjMU6ZMcddnLYg04Pl95plnJHnPfjmNteifC4+eOYXFRyx65ZVXluTt5XAcNtEBRAkbEdEH0C0vcWjL8n+kIg1zyx5AoM8j5bCR2PVoxkt2BJ5WbDl2snw+7xpQ4aW26A0bFuYRuzY2Id7D1157LXFvxDa5d2J2zCe/7WmZU5K7s0q05PP5zDKmWZLXdrwfMmSI9thjD0k+boyURLOxWhoaBOcK25HalEhi6czdV199VdYahuO0djje94MPPliSTwfk7zQWmZ0XpCQaANcjIkDm2rhx4wr+lXz8/cEHHyw4J4gSNiKiD6DHcVg8YXjXsho3B+fM/N42GbK2GjsarRNJjmZnC2NlxDMffvjhgmvYnaucItRZ4F6w00499VRJ0s9//nNJ0v333y+py3v4ox/9SFIXY0byOzjSJC2XtbtIKySexTvu6Ogou7i25ZLjtd95552dZxzu8K9+9auCc6FRoGkwHtY6vCZaAMUQiIVWygcPtQli19iMaGXY3BSlx9OP1CwGNKuw7abkY7kUF8SWDp8xjrW5ssH3qQ9Ej17YAQMGuBsjXQyyNLQtaIMsJGoulLU333zTLR5OJgLQ2223nSSvHv7sZz+T5J1PuN5RmZdcckn3UGUlF1RTJWazYrJtF+8wLYzKG+uuu27BMcxDMcdeKRSjtQ0cODAveRXUUhNDk8SqxNYRR0gE04S53nXXXd3/UfXYoJgDnhNLvuda4Xiy0jmDjbzoGhZzaHJunKN0ykPtxpFp0wBXXHFFV8UTui30UcDzufbaa0uSbrjhBknePGDTChMusmimUSWOiOgDKF5z42tkqUizZ892uzC7C6QGUovY0ZGWd911l/ut1LUL4vb+7ne/W3AddrQ77rhDknT66adL8ulMhFPYUadNm5bo1l0uuuPcIfhPoJ9xoG1MmDBBUpe5YCUrqIaELabOI1lJ2LZ9WUNVPMsxxRpzjnfffVeS13xaW1td6A3njSVhIO0gjpTT2dyGl6yzywIV2paWCQFB4vHHH5fkzRY6Vrz66quSPFWR8i+vvvqq63hAOMuOB9UXeiaqMRIXNfyTTz4pWsamGKKEjYioIZQlYXn7qVwOkXvo0KEuGIxdyY7ELoQz6rzzzpMk3XbbbZKkLbfcUlIX3Yt0JHZyWw0RQsL5558vSXr99dcl+TS2N954Q1LX7n7rrbdK8ju6rX5X6h4rAb8hlAEeeeQRSf6eN998c+f0sLtyOYn8PQFjhCCQVrUeKW/ppNYGxN4jdQ7iwHrrrefs2x133FGSXzvCPTwHaBJZCRzNzc3OvsMhh7QuVRqnmGR99tlnJXl/B9cgBMc4sU/5nrS7I444wvkomIef/vSnkjx9lHHyHKNlUjSQtR8wYIBLmIeqWW76aZSwERE1hB4RJ+rr653NQj8cbIJdd91Vkqdl3X777ZK8l/Cxxx6TJB199NFOCpJGN3r0aEnedmF3ZjeGhH3AAQdI8hL2oYceSvQ4nR/k/1JoaGhIJCxDCmA+uhNWykIacSIcS3i9fD6fmDO+Q/oQCsE7TDgDaXTmmWc6ew3JRKgD6iX0PdbDUkAZw6qrruo0OIohoLUF/WqLrmFafWLCJ/yLlkBUA4mHdOS9IBIwdepUF67785//LMlLRdaWwnM8r8wJGgznHDRokEvSL9LlL3qJIyJqHT2Kw95yyy3OO4xHlBIo2LDsLnh8bQC7vb3deZDxtkLtstXRSbeCOA8NEi8cydGSjwdazE8Ji93U0NDgiqkBm1BezX48acQJ65VFmi699NIF8xYeiw2JpxkyCusEOWL27NlOqmDLQhHFdkaLsuOw42lsbHTHWOmTVT6l1BqGfXHSvOPhuZGo2Kt4xj/66CN3jC2hQ4oeBQlJjUSrsM9xR0eHIwFZv0FMYI+I6EMoy0tMkjX9UcDJJ5/sdlSkHjbKWWedJcknBYwZM0aSj6Vy3LXXXut66fAd5SSxh7gGaWvYNHiNsXnWWmstV6YSyU7cb36CnZd48VVXXZU4Btu1kuLS3QESzBLq8UNMnTo10T2df9GSSFUkIgDDDG/+7NmznQ1IP2DrnbZSxsZ8sZe/+uqrhBTkmFL0TctwSkuRs/doY842Ho4Xf/DgwQmSP2uH1xh7GE800Q8+R+KG/YOyqIlZiBI2IqKGUJaERbJazuqUKVNcmtLFF18syUtOpAzsjjC1SPIsocsuu8zp89gP66yzjiRP3KfUCmwheJ7s+NhWM2bMcOU6kKyl+oL2BvCAhuVR2NGRVjaBu7fAdW3bDezDAQMGuM+Qwuz2zDPrDv+WOcUu/ec//+lYPqwZ62u99LZlCB5njs/lcgm7vlS3cmAlazl+gXKTVKZPn+4+gyXFPSMtV1ppJUnSCy+8IMkXjcem5blobGx0500h/Rcdb5SwERE1hB55iRsbG92uRqE0PLbYtJYPyvXwTGInFQO2Ejs68cBzzjlHkpfi999/f0lJWg0vMXHgLCkCkGINDQ3uvmF4ZSUuVwNpcVjbeZ2/8/l8wo5CkiLZ8BLD9cZPgMbzyiuvuPWGuWPT02zqpGVcheOzdibjCLzHFRUS784cpxUczLoXPORoKBSFxwNM1k4lY4tx2IiIPoCiNmwp+6+jo8N5O9lRic2R20rjIDxl3Slyhq1A/Av2zGmnnSbJS4Dm5mYn/djpqwnmgzKWFJJGAlDmhdgdu+j06dOdnf7AAw9UfVzWAxzCMr7QaGAiNTY2uvnDnsQnAKOHsdtWHkji2267zWlMWcwda6tlFXpvaGhw88kzZZtxWWR5h8vJBMo6Jk2ych00C6In2O0UVCBCYePbYdsYe90NNthAkmcAZiFK2IiIGkKPbNglllgiIcmwL/Es0/yW3bscsHNjs2JPIAmQZLSDSLsH643MyuTvjg2LpEHC4w3G1mb8YTUF2xqzO5pGuUgrJG7nKMwasvYaBbH5m2ohcLzReLjfzs5OJ0Ftq0rbkoNIAMchkUMPNf/PartSacvQRRddNBFftXYx2UV4xi3q6+vd80fclWLkfE6eMHx6isPD8kuDlfSBLV/9EjGSD7lkderqCaxx3xOCfDV761DLCPojzi/bBQ6MHj3avdwQxLMejGqg2AubRj6wNDnugxeHtEpqFLFRElZrampy6qq9dzsnXJ8XhhcZ9TetRAyAsPH555+nriHmGU6gEFlOpKzPORdmxoknnuiKL7z11luSfFodKjGmED1v7XMbvpSlEvij0ykiog+gat3r2BVRnyzxeUGjN7rXUaIG9R8pQpW/kOA/P+chTcKCtE7stt4wajufQ4RH40nrSpDlmESC2U5uVgUM/84K/QT3ULCGhK6yCpqlfVbMURci7KQHAQKVmEKDFCpg/a05kAbbTS/WJY6I6IMoKmFtTdsSx0rKdutXA5UEwknvuvfeews+r2Z6nb1nJBOlMXvDri8H4T3269evoPI/u364w1sJy/1YHwLAsQhx5Isvvsh08lkiP+mVSDZbn7ihocGdi+tj32Y5nQYNGpSXPEWwknCOtWGRvPae8/l8otwqpYtwLln6Z9Y4GhoaMimbhIwef/zxKGEjImodFdmwBN3pKtbb6A61zP6mVIHm+VEiZn4jvMeGhoYCCZuW5ob3FVu1VLGztORvmwJnbfZS6xKmuVlJj+aC9zdrDZGOXDsMnfWEppgF6/G2NmsW8aiuri4xPyl9jaKEjYiodRSVsBEREQsXooSNiKghxBc2IqKGEF/YiIgaQnxhIyJqCPGFjYioIcQXNiKihvD/T6SOZOXYmvYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.254, G:0.8566\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 1.141, G:1.325\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 1.321, G:0.808\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 1.368, G:0.9251\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 1.335, G:0.7918\n"
     ]
    },
    {
     "data": {
      "image/png": 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BVU2yKwaMxeoUbIVCQML1e1mdWcFY+en72rNnT0nSySefLCl1MXYmqWKYD8FxvvDCC8ZnJRjDsV9zzTWSrHCd0kLE/6QnWrZsad7jphHwqWi7wjm7firnUVtba1gXHzogZ8v6PBFJtG/f3rRzoTEa5+4KNBAZpLKiYDXSUVwj7hXyUhewFv6+u91Uf7tg3whqSJEgQ5w3b15SIz+aq9HO5bHHHpNkg2RYUdyvDz/80DSdI9WD+AcBDYFBUnV//etfJdk2ObBoVVWV2S7tY4JCnbTnmvZVDw+PZoXIfFhWYXwRROCsGKzw2XTrd4Hviq/lRqRJYC9YsCBJ1OAi1/K6IGtjJcBw3/rWtyRZn5vUBCwD88diMXOMJ510kiTbaI72OH/6058S9uuWirHPYAOvMGQjnEiVdkPwge+FnM8FMkSi88cdd5xhe2R4sBEpjzDwPuIYvXr1MuwfBvcedunSJS5ZpuN+8UzW1dUlTDoI7hfQPBDL8JxzzpFk/c3gxDm37BBmR5pK2ofoO9FjPt+2bVtTVADTkgLib+/DeniUAXLyYd1VuVWrViYyBmOQoyJXSoKapHwuYOWixAzgC7CS4gdVVVUV3AA8xSwe8xqrX9C/lazPwnuJBiL2/sUvfmGuGb4rOU+YNayBOZ9Ll89kf25uV7JWgZuHTmXp0D4W/w5fnO3j/xE7IMI5c+ZM01wb+WimVi8cDyIUkIldUwEWDCuNbNGihbmvwYIAyUbGEd/AilzvYLNwzhGGZRvcU+IQvM7fNHNAZrpw4cKkmIlbZhcGz7AeHiWEnBiWaC6r4P77729KiYgCsiL94he/kGSLoFPk0sx2XVZjpfz73/8uya7ovM4KRlkY/sCWLVuMQoV8Wq7IhqFd9g0rdmcF7tmzpzlHVm783zBmzaWwgWuaioUzKbyCIJpJhBelGUC2R8tS9jd37lzDTERmw5iS88TPS9cowEVYBNW9hvj7nHswb9y3b19J1sLh2lGwjh/P+dDqJh6PJ0VyeaZhWPx3Iv80XyMCjjWxaNGiJIYlt45VGXoN0r7q4eHRrJBXlJiVZc6cOaY9yuGHHy7J+pusXDAdDZtdPyOo8ySqig+F0snVVyKiJmeJT/vqq6+avF8YwqLErMLHHnusJKvhzQeswGhuly1bZnK248aNk1TYNPtMKHQYFtebBt60WiUSDPBTO3ToYBgDv96d0s49JueLasxFcP5tGDKVSAa39cX7kwZW4VfS2gbm5XlGY8yz2K1bNyPuB+RZiQLDjlw3LEQm9xEDkGx8w30OOL6gWi0Iz7AeHiWEvJROrIBDhgwxSg1UQG7TbXwFcnqUGlHc3aVLFzNykEoPgK9K60+UJPjSVMcQgUZbXAgKYVbAucMys2bNyjiBPmzWay5IpfF1fWEsHXKWqY6HffNeIv34rOQyURR16NDBHD9qKRdEZ2krGoZ07BpsphaEe45ch+A1hP1gep4hrgO+N9kOnk9a9ey8887q379/wntQwNFehvI72JwmbO7U98rKypTNzqXM5XWeYT08Sgg5+bBuTq+qqsr4pKh7YBe3YJwaQSpZmKq+ceNGs1KjMsFXIjdG5YrbIA0tJ43I4/F43j5slGDFh4latmxpVnCGhQF3NCIrOlHDXKLdgdU6koHObiN3WAdm4d7H4/GkaCfWEblLVy2Wj+INhLWI4bq7Q8mCVgT3hOOg+R1+KM0HUF7dcccdkhoY1h3Vwr1jFAvX/89//rMk6Te/+Y2CxwXTHnfccSb6HJaH9U3YPDzKADn5sG5Or6KiwrAjw2zRU5I7BURMaUyFPf/Nb37TRNVcX4TVGh/hgQcekGT9IKJwrPjomINwx/m5YMUNUxLFYrGsI7pYBERVH3zwQUkNumrYyVWLufvFB+TcXJx99tmaMGFCytcKYa1UYLUnZ+xeX17funVrkmUFcxB1vfLKKyXZ6i2sKRcHHHCAYbds/XhXp05OlWu9zz77mFgLzxRRYnLOxFpozYMvSQ71rbfeMpFkFGXo5a+++mpJtjk5zMr1wj/lOZ8zZ05S9Vq27X4KEv8H57y4HdMRVDBRm8LssFYlxUaqyW5f/D9tZ0jJmvnu5HUS9DwoFEcT/GKBu+yyy5KKzt2gA2Yc0j73/cHrFtZOJHDTQ01iTO7g9ABSTnypMoFCBooAgscR1hs4FwFHJoQVsAf+lmSvcVVVlbnOHAdmPqkpglCUzhFww9Vr27atMWkpesAk5hxx+3ADCLACnp9YLGaeKa5X8LUv/vYmsYdHqaOgvsTZTO8OvjfdtnJBujY0mVrU5Bp0isViSeYKrWEwiSh2xvwjTYXM7ZJLLjEmGAwKK1MkEWwbwn6l1BP9wqyTfGfrIMNzJ8vRo9dtjQI78BO3qLHg3sPWrVvHpWRRftD9cJ8LAmZu0z3A+9I9t2zfNcndzpRuienWrVuNdYYl5aZ3fHmdh0cZICcfllWAQI1roxcKd2ZqPsjE5O7qvPfee8clmz5JdU4u29Fk67nnnpNkGcZtOxoMymQLWMudVQSCTOAGsALNx8ybvvSlL8WDx9hcEZy8kOn+Z+r8D3sSrFy3bl3SdQybEpCNgMUt1eN43dSM+9mg8MNt6cs2A2ztGdbDo9QReZvT5o5sp9dlkyLBx6M9K1FEWDrd6hy2+mbjO7lzT4kwBua0RCKcoAQOCWgYKioqTIQ8U+F6IQgIIlJGiV3fPtU1DCsQyCgJjMXM9XUnC7BNUlVYM2GWQlBowrFhtXIcmzZt8gzr4VHqSMuwHh4ezQueYT08SghppYnbgw+74447xiXre9HmI5gXdfNprr/JT15383PBeaD8D58PyWSmljBBtZUbjXQ/U2gBe3NHYxRwNDXccwSeYT08SgiRj+ooNVDK546aCCphiBjDZG5e1WU6fpJXDmqu3c9kbGvpDHYKjvh0c3c+HlH+8Azr4VFC8HlYpwmb2zIzWFnhamldpqVKA9YOqpbc7WbLiq6/2r59+ySrIIWKx/uwTYihQ4dKsmNY8oH3YT08ygDNgmHD9JwobWgBE4Wv5q5c7du3j0u2ZarLtMFqHYrKGf4bHAEp2UJ6ak0piqaJmWT1p2zzJz/5iSTp97//fcLrgaoN9/jN7+6xUqy/atWqJmdYd3BzJiVRLmjuDBsFPMN6eJQBisawsKFb5zd8+HBJdtz86tWrNWfOHEkyjZqp9qey//bbb5ckzZgxQ5K05557SrJ1mrl0rXBXrhYtWsSD23D1qJWVlUl1jpwT+ViYFSalZQhNs1u1aqWBAwdKkjlX3kvzNc6ZrgVcL17PJqqMlnnNmjWRMiw1u9Ty4jvTDmjq1Kmm1QptUWitEjaKpBA0BsPSOjdVlRMaYdoeueM/XUuR+uh77rkn6/2HMWzRTWKmdj/11FMJ/+eCDBo0yHRGR0yAuJq0CF8MCq3pophL2RoIu9mkcfgyUgwd/MJyHO6X2jVzmUxAy5XBgwebLx4lX27pHX/TCwvhhtsbuK6uzpiXHKs7gT3XAnYXiNg5zzPPPFOSdU0Qe+BGHHLIIeYhPv/88yXZ1kCDBg2SZNvmBLvf54umMonpM820QvpoMx84DG7JXjbwJrGHRxmg6AzL6oLZiPlAgGTZsmXm95tvvlmS7T6IWXXuuedKsr1iMRvzCUJlauDlTsKWbOkTZp/LsJiIzFpxOzEuXbpUp59+esJ23RKtgw8+WFJDV0TJsjPb4loE4bodAYFHXgxLGxvKA9keDfVuvfXWhL9h/Y4dOxr3hRlLBAzpkklKLIqme43JsKkko5meNywdN/AWbCWTakpDEJ5hPTzKAI2W1slm3inCA+aPsqJPmzZNkg16EHQiIJBLP1535aquro5LdlWEYYMtTcNmt+J/Mp+WvrOXX365JDtbZeTIkerRo4ckK6rAt6d3MQGJAw44QJL0ox/9SJKdip4K7rHiYz333HN5MSwd62kqt88++0iy7UwBaSzuZV1dnQl4MSt1yZIlkpKDNpw/8YpckGqygVRchg36n2EN2/LZFpaWOyEDa/Pjjz/2DOvhUepoNPF/Nr4Lfs6UKVMkSeecc44ky2hMCMf/iyJV4DIrrAmLBEP2rIaww0knnSTJWgREu3fffXdJtgP8qlWrTFGB22aTptxETzkeJsmHdYgPvhfmcduU5grm/gwYMEBSw7xdyc4ypUm8K9Xctm2bYU7KFIkSw9ZE2GGQfBD1ZIN0IObC/KYnnngilFmxhh599FFJyezppgUrKiqSmBWETagAnmE9PEoIzUKaCFi5icYSDYbRvvOd70hqmHOSLzK1yARBn9t9jZWWnCpiAYrfFyxYIMnmHkeNGmVYkFwyEXFm6ZD7xLqYOHGiJMtyrNrBBl5uYT0rebBFZiET2Gk6dvTRR0uylkRjjVcJQ6YocT7ZA86V/HtgX6n2L0maNGmSJGsN0WCebbgMiwCF/HU6+Cixh0cZoFkVsJMHhGlhHSRgxWiGDVuwL3zWoL/hrtj8xIfjuPCx8S3JH8diMTN/lPm1TLgDs2fPTvibvKbbKjM4HiVskFKhYLucFz7sYYcdlnBsRIKD4BhgZab2pWv9GjXy2QesiP+ODBYLaMmSJYYxmdrOOaHuYr8o9IDr8+cbZZY8w3p4lBSajGGDpWEw6LvvvitJmjx5siSbowzqeqX8NMRhgBFcjSvMW11dbXKM7sAq/k9EGT+IVRlWbdOmjSkEYKyhy9rvv/++JOvbphnmldRIPKwZW6HAN4cZ8L1g1uBYRa7BmDFjJNnCDCyWYty7KIEfSlEK7InVV1NTY65z9+7dJdl7GNYwnNfJCEQBz7AeHiWEJosSs+Kec845ZjW78MILJdncF/nMTFG1XKKCUUYYYTh8m4MOOkiSdN9990mSLrroIknSvffea7YLW1GthPUwZMgQSZatWelT5V8BvhHbjqpaBx8Mn5XcKr7b/PnzJUm//OUvJUk33nijli1bJsnmWTleIv1PPvmkJOniiy9OONZ8EKWW+OWXX5Zko/eAyC4jRXv06JGz70mV0x133JHw/5qaGnNfw+CjxB4eZYAm82FZwW677TazKvPTrfDIhEIij26rULftSjp1Da/RMubkk0+WZFdlFFmbN2824yy7desmyaqSUAjBWkcccUTC8bgRxuBrbpQ4KrCvSy+9VJKNFsO8XJsbbrjBHA/+rgva5KCzfvrppyXZOtmmas1K7AJmDeqiJetrE3PIBlSZYZHQkIFt8Wyle64zRfqbzCQOJv95KJmSxvzVTMGUKMrrMpnElZWVoV0TSAURfEEkj/ADs/e9994zBQv8j0J1zGiK3pHEcbOvueYaSdZ0rqqqSnoA3OtTqEmMqc+0uLlz50qygSRklscee6w5jmCxhGSvFcePRBG5ptunK9vF+Ytt52QSB5sQBLaR8r0sKCw0bvrti/2l3YZ7LQDllyxW6eBNYg+PMkCjmcSuwx7s2XvJJZdIkk455RRJ0rPPPitJOvLIIyXZlSxYVB78fyFwZ94Qgg8WG7v7JciEqUgZHaYQbEgAaffddzfpDbZF2RyF6aS2hg0bJskGa9yUwdatW5N6SrGiR2VeujNqKb7HrIcNZ86cKanBNOZY6BjJeWJtkPKijJDAXGOYxEELBCsBcO2wJgiOpWJWEHbMbNtlVjBu3LgsjzgcnmE9PEoIjebD4rv169dPkl2l169fb8q23NYvACEC7wP5rM5hLWJIIREEAqScguD4CMLQhGv06NEJx/Xaa69Jaii4x3dD1nfjjTdKsiks/GBaw/Tq1UuSdMYZZ0hKlLVlmjQeded/rBAsC1cgn+oYXNBhkXJCWuFw3WHibJCtD4tkkEYIUvI1w2qg8L4QhJ2728Qvy215H9bDo9QRGcO6cjlXkO7+P8ii7qxUgN/De/GtcokounBXrpqamnhwm+wLNgn6kLyGtQDDEv1DssaKSrS7f//+xkrAX8fSQH4Jk3N9SJkQOScy27ZtW/Ne9s8xBpi3yTv/u1i4cKEkay1xDZ977jlJVjgShfglFWh388477yT8vxAhfuB40r5OygtxSZbb9Azr4VHqKDhKTN4QYbzLoK7o212N4vG4ia4CPtu/f39JNmc3YsQISbb9SJgPlwtgQ/KkNFQLRkrZLi1HOUcK1sGsWbMk2ZLdN20AACAASURBVBk8XJtYLGbE5fikTALA8iBKTJsWopY0nqP4efXq1Umi87BpelEBQcATTzyR9zaQWsKkp556qiTpjTfeKPDoMqNt27ZJzIqQA3G/+wxGiVyYNRM8w3p4lBAKYtiamhrDrEi8kNgh2GfVp7E0rU/wZTZs2GDyrfvvv78k6wuikqFM7brrrpNkGRYUksuDpSkZc9ut4GsFARui9OFvVm1YBLVS9+7dTeE6Kz3tTGnGTbSUtjPjx4+XZBk46N+7fldwlm0xALO6LWmyYXSOFeuEMsIJEyZIss+Nm+uOEvjJQXC9s22KEIvFzD3EksqEH/zgB6Gv5WsVeob18CghFMSwmzdvNj4qDIXfhvAdJkHR40ZQ77jjDr333nuSrP/I2ApWX/wLmrDBirARq2SeedmEn+6AqY0bNyZpdhHwM9OVc4VhR44cKcnmdI877jjDpFwP/F+uB5FfVFMwq8v0dXV1SUokV1tcLHD+NIpLxyCA/DPnx31nW25LnmJg+vTpZg6v2xSdnDLXEmsJyzHdFLsw7Lfffin3FUS+5+sZ1sOjhFBwHpbSMlQ9tHdhcBUlc127dpUkHXjggZKsH9SuXTvzGXyNr371q5KszwrSFXNni7A2p6z45OtoV1NdXZ3UsJv3Ep1lHixMx/ETgezfv3+SVpmWNJTZjRo1SpKNQIdFFuPxeNKqnyLyHkkelvPDGsCPJmJNzGHu3LnmeMmdo8nlenL+WEtEyckvZzPKBWSbhx07dqykBqulmAzOPXPHjhYCn4f18CgDRKZ0wp9hlSEaSFUK0WN8FvzRu+66y0REySvCVNnmFYlAfv755xnHOYQxrBu1S1c4zjnCJhw3YxivuOKKhOPq27evOa5//OMfkmwknOuGTprIMiomfCyOp3Xr1sY3DosWR60lJifM/YBpuZfHH3+8KXbnvrrHT76VOmB8RRfdunUzsYwwFNIiphD241y4726cIRNQ9Ll69VTwDOvhUQaIrB4WJQsrKxpYKiWI/PI3K/KiRYsKHnJElDYfhPlM/L+qqiopGuv6tN/85jcl2WFITz31lCQbxV65cqVhYcZOErWEedgfOWe0t+6+169fH6p/LVYelgg/FgR+d3A4Fk3UyacSKe3du7ck6fHHH5ckvfTSS5KSh1CDgw8+OCPDFgJy5+SWuS9hrUg5vrVr1xrfPRNovE4XEZCOWcOuh4uilde5wvTmgrDyOvdhD84CpZiZmT7ubBu+mKQuuPmUzI0YMUL333+/JBtM4rq7U/L4LKa4K1YIzvpxv7iBVjZFFf9zb/lyxmIxc73CzD7MSN4XZQFHcylwiBLeJPbwKAM0q+l1jQF35aqqqopLyaZIMHVCmgZhRBjDuf8PSgbd6+ymiDI1mgvuw90+wY9Ap8dmV14XJTzDenh4lAS2e4bdeeed45KVorllgZWVlUn+pMvGuQi52YYriQzbhsuwFRUVhknDxAbF9mGbGtkybJcuXSQltxYqFIWUc2YLz7AeHmWA7Z5h3QnsqRgvVXPx4HvCBB74lh06dDCF6C47uqVxRI0pT3T3HSyoB3wWccWmTZs8w5Y4PMN6eJQB0jKsh4dH84JnWA+PEkJaaeL24BsMHjw4LtliY9RKlAOuX7/eqHdooEbpGAUOSNZQ9zByhDYovXr10uzZsyXZkjvmpF577bWSbKkcJWsUAdDKhM/X1NQY4TxidNRk+Mnehy0cjREJTgfvw3p4lAGabD5scwH6YAqryd0xNqRz586m2PyBBx6QZJkUVmQIEg2j//CHP0iyJWRVVVWGDWFOtzkZWmLGHCIgRzxP651169aZljr8DwuAbXgUjgzZk4zvKRY8w3p4lBC2e4ZFtURuFR+TNqwDBw40/iNtY2BchjG//vrrkhra3UjShx9+KMk2XJs9e7bZD0Ogr7rqKkmWpXmdVpovvviiJNuUnPd169bN7Bd/l2ZwMK1HcdGUmRXPsB4eJYTtXul05513xiXp8ssvlyQdccQRkmxd6mOPPWbUSRQ/U8CNz4rfy8jCu+++W5IdJbl161bjk9JehlpZIrz8hGnZFhFompWtXr3aVBK5rWkWLFggSVq5cuV2FSWmprkQ5mvqqLALHyX28CgDpGXYli1bxqXijlGIArk0e3ZXru985ztxyTYWo5sCzLZgwQITuWXMBjla/k+dLJpihjVfeOGFkhp0wcEWL18cR8Jx0ZHBHWzF8dBi5+WXX9bee+8tyVahUE1EA7Rp06ZtVwzbVOeIVpx75VZP8TeWWC5VQ2EMu92bxG3bto1LtgcRQZ+//e1vkho6Br766quSbO8ogj6YufTepRcR7yNl07JlS/M/bi6mLzfXba2CSc5iGewMCZhAcPjhh0uyfZMWLVrU5F9Y5uAy5zYM2Ux3d9FUX1jcGL4zpALdCes8Fwho6PHF++jblQ7eJPbwKAOUFcOmKj1z4a5cnTp1ikt2ZYdpSeHU1taa2bEIIZi4jlABsxXTlGkIdFfs3LmzWW1ZlemWiJDisccek2SZhsZumNAERTp37qwVK1ZIkjGNEXlwPI0ddKqurjYzdJjpS+M67ge9jTn2QtBUDMvUCgKTpNM4txNOOEGSTbfhMpEqxDRu3759xnm0nmE9PMoAzUo4wUp15plnSpLGjBkjyfYyppcv/p3bPmXs2LFmPg9iBnDUUUel3OdJJ50kycoODzvsMEk2CNW1a1eTPkESCAvTshT54GeffSbJzhmi9+2KFStM0AgWHDp0qCRbSECfZhiINBOziWDi999/X3379pUk41sff/zxkuyK39jYsmWL8dNOO+00SdZfw1LgXoU1rmuuwKr65JNPkmboLF68WJKNIcC8WBcAf37cuHGS7ITCdPsLg2dYD48SQqP7sKy4RDQHDBhgomsp9i8p+/mnFRUVZvULS0W5vkHPnj3jkvUD2dfNN98sqWG2KP4mk9/xSS677DJJVkZIp/fRo0dLsoKGWCxmjp3tk8bhOuCrsi9Y+5ZbbpEkDRo0SFLDBHuuy7777ivJCiZY2WfMmNEoPizptPr6euO/uykNGqjjw2cznS4TGtOHJc02d+5cE5Unog/juvd06dKlkmxxBjEP7mn37t1NC6Cw6+F9WA+PMkDRfdiwMrJ0cBuihYHV6bzzzpMkDR482MxuyRY0Caf4G9E/gv/Kykqzst57772SrM9CPpap4qysnCur88cff2wKA1iFKZSnGACfj+NAjMG27rjjDklSp06dzH7I2WK14O9GDc6DqCcCAH6mmjnDTFmsDSLpuUwyb0pgvfA8rVu3Tt///vclJeeKYU7iJ0xjPPnkkyXZaYYjR46U1JApIIaBhZUtPMN6eJQQis6wp59+uiRp0qRJWX8GVoZBYBnXP2LlJzpaU1Nj/Ipsgf+JsB9/g4ltp512mmE3IrecEyVyU6ZMkWTZGh/nkUcekdQg3McKINrLOcC4+N5YIESmYU2ir7vttpvmzp2bcA7sn7K+qDFkyBBJNqLttmatrq42v3Pc+LSwS79+/STZHGVzBffw0EMPlWSLMJ5//nmjfgNMLSSGwDNDvpb///Of/5QkjRo1SlLDdcuVWYFnWA+PEkJkDOtGZ5kszsTxXMBn0OjCOmE+2qmnniqpIWqHyogcZSaQH4UR8DVnzpwpqSHyC7vBtMxuJffIe2E+crhElY8++mjD/O5P/NElS5ZIko488khJVicMIzNvt1WrVkbhhBqL/DV+b1TgvN1yPvKNsM/HH39sXsM6wlfFb/vRj34U6bFFBVew/9Of/lSStZKI5s6dO9cUV9BWiOvw4IMPSrLFHrDn4MGDJdl8/Iknnpiwr7yON+9Penh4NDryysPmUuyL78rqwmrdp08fSdLTTz9t2I0xFfimVLiwyrEaEq3kJ8eRjQ8Xlocl4gmLU5lRWVmpsWPHSpKGDRuWcBwwHVFC9MBnn322JFuOd9dddxl/nHNCJUPulP+z+k6ePFmSvV7sc8OGDaZ8j+NCHcW1Xr16dSR5WCycs846S5K9zj/72c8kWcVZ69atzfnxbHAeWBtojGknWwiKmYfl+GfMmCHJ5tJra2uNsq1Hjx6SrLLtl7/8pSRrVRBTwGrKBz4P6+FRBii60okcIdFYfFt8THy1IDgm/Dx8WJQjrILkLl19ajq4K9fuu+8elywjfOtb35Jk/eja2lrzv5dfflmS9XNp8k0UkJYwrMCok4YOHWpavOD3EXEkD8u5oYi66aabJFlVFdfr008/NWzGe2HrTp06SZL+/e9/R8Kw7BvfeNasWZJsFBRrJB6PGwsAZsKCChxHvoeRhGIyLIxKHva3v/2tJGtxOcchyVoN5OdhYoDFmEsGI4xhCwo6Pfjgg8ZMDANmw4ABAyRZcTMChfr6evOF5IuA1AuTyxVEh01Ar6ysTJrdmgm9evWSZIUSdCnki/XMM8/o6KOPTjg+TB1+EnAjJYDMcNq0aZIaHgK+kBwfxe4EjriZ3HSCdwSdFi1aJKmhdI/CBkxyzE6uV1SgswalcxRj8ABy/auqqsxCTNAPYK6zmBViJjYGCCg9//zzkuwXdcuWLea8Ac8t3THDgkm5phrTwZvEHh4lhIIYdtiwYUZyBiuGzUqFOX784x9LsqZg7969NXHiREmWwVjJCEZlEvSDXNlVsika0ikkuzmv119/3aQsYAuEHJi5AHMKwT7yvDvvvNMIB0gFYb5iVhNceuihhyRZq4JSPub4YJZKNlFPwIrrFBUw9f/73/9KsoEj7hPyyokTJya5K4DAFWZ8c8d3v/tdSfYcQZBdYVasxMYsEfQM6+FRQig46JRrP1eYCz+vRYsWhsGQvlGw7k6UiwKuM9+7d++4ZFNCv/rVryTZhlrjx483TIpAgb85B9gRH5aEOqL4Z555xqzYjz76qCTrH1555ZWSrKCcQBL7IohDe5E33njDXEPYms9yD9auXRtpeZ17j0lFMVOoXbt2JvVGmSIBKYQhnG8UiDLoxPXG/8Ra4Z5yzu+8844JOl533XWS7HXnZ5SFDT6t4+FRBijIh03V9Iw0DtFhF7ApovfPP//csBnlSKx2+Ui4hg8fLkm67777sno/UVhWWlidv1euXGmaa02fPl2SdO6550qyRQe0mTn//PMlWVbEH95xxx2NT8p2kcAR6XXL64gik0KB+adOnWoi2bTLpOXIwIEDszrnXOHeYyKpYM2aNXrhhRckWfEL8YZsWno2BdxUC/EAmJUmaUS3d9hhB5Pq4ZlBGEP0nPhDMeEZ1sOjhFB04QSM4rZ7gWF32mkn4wsRhYSZijFxwPUNevXqFZes+IAVlp8jR4401gLXinMginr77bdLspFF2Ia/n3jiCRMtpZHbz3/+c0nW4sD/QXSOaIGSLIoUHnnkESNSIGo9YsSIhOOISjiRC8KeoygFE4F95e3D8tzxbDEniag9+XfeF9iHrr/+eknSRRddlLANshlE9GHrQuB9WA+PMkBkDJtttPiCCy6QZKV3F110kRGz44O5hcJRwl25OnToEJdsvpA2p/inO+64o/ERaS9KTpHIKCstSiN31s+WLVtMFLp79+6SbKQVGRvbxHfCfyeXi8B8xYoVxk/Eh3JHSHzwwQeNyrAXXHCBaVoHKKYgzxwlCmFYLD5KIf/85z9LklGzEQOZP38++zKfJc6AhcNr3EOKUaKAZ1gPjzJAXgzrFv1+8d6E94Rtl8+uXLlSUgODTZ06VZJd5YqpHHFXrq5duyZM6IOtaB42depU45PAsKhhaEkK06FLJrKLb37mmWcahRKrMeM/YCLUMxwHTIz4nPxmmzZtTJQWvwstMbnPBQsWNCrDPvTQQ6Z8MrDfou0vV4YNZjPwUSloILKLFprYgYs1a9YkqZ/Y5j333CPJZg+yGeiVCZ5hPTzKAFkxbKbcahDuzEzyXbAPbEq0tG/fviYil48WOFe4K9eXv/zlePA4idrij1ZWViapYNCQ0vaEViBcJ3J7fK5nz56mXQyMSiQcFsa3woeGcfGl0PO2bt3aRJhRgJFzRhf96aefNgrDPvPMM5JskzbJsj0tQd2RKVEgHx8Wy47r/Mc//lGSzYNzLuRUAbENrKggiNLD2lHCM6yHRxkg8jwsK9Jtt90myeZWAZFV9Lj9+vUz/mxjwF25dtttt7hkLQOimlSfvPjii2ZVRq3E8XKuWB5YFbA0n7vmmmvMeRPhhYVRR6EP5qfrL6EtrqurM8XsPXv2lGSj0aikli9f3igMy7EGfTYqhty2p1GikCgxvjUNwrmGWENYMqju5s2bJ6nhXLEAKc7HSopS6w48w3p4lAEiY1i2g1IHfS3+FZUt7vtZiYsFGJOooLtytWnTJsFPZ6U95phjJDX4ZFTdwGwwCr4LudNrrrlGkm3GFlR1sX0qeq699lr2L8leB8ZeEnlkW0SEO3fubLpPkLvFP0afvHjx4kZhWLoy9OnTxzArVTlU6RQDUSiduL/UMKNe4j5w72DVFi1amAgyz3IUg73CEMawab+wVVVVcSm3YBCmnitJJPF/9dVXS7IPG6ZnY8G9EOPGjYtLNgjBF4gv+ksvvWT6HmPW8oXlC4wI5K677pJku9vTC6pVq1a64YYbJFkZm9sNkWkCgCkD9EIm3fTwww+bdjZ8cdkPqaMNGzYU9QvLl5N+u0OGDDEBGFJdpEmKgSiEEzyX3He3HzTmLgvlu+++a+5rWJOGKOFNYg+PMkDkQSeacFHs6zZUa2qEmcQwK2kJmsYtW7bMMCesR+CIsjtm6LAaY5EgLK+rqzOsjHnNCo9UkyndCCpI5wCEFIsXLzYBMu4dVgqta2bPnl1UhmU/pLkqKytNEJFrwLEVI1XXmPNhmwqeYT08ygA5MWyu7WAkO+GLol+mltM9vrHhrlyzZs2KSzIFCPQj/sMf/iCpwS+lXI52loTxYRUay+H3wCpsa5dddjGCCZqxcT0oCoCZEJQQvON9iDU2btxogl0EQV577TVJNqDyySefNErQKZ/nIQo0BsM21bkBz7AeHmWAohewNze4K9fQoUPjko240tKEiXQdO3Y0fm2XLl0k2bYhMBs+LWyJ347Q4hvf+IZpU4qQgG3C1t/73vck2bk8/MRf5HNbtmwxBQKU3rE/pJJjx45t9AL2xkSUDOtKaZsLPMN6eJQB0jKsh4dH84JnWA+PEkLaNqfbo/+D30nBuPNetpFy29n4Q2HbiDIqGTzH7fEelgO8D+vhUQZoVlHixsh9NebqTMsWIsLpkEuTgEzwDFv68Azr4VEGyIpho2C+4GiOfEGOlFYo+aCYqzN6ZNq7BK9btk3qMiHVeBQXnmFLH55hPTzKAM3Kh02xf0nJbERrknzaj7grVywWi6faRy7HUwyk2xevUdvpRqU9w4YjCkvPRaq2v4XCM6yHRxmgyRg26O/BFFS/UDlDyxXym1TLMG4RDW8uK1tT+z/UBdN5gmomqnGmTJkiybaFTdVeMxOakmGffvppSXaotft8MYqTsSz5NBxvjHv45ptvSmpoAi/ZThrZIAp9cl4tYqK4ENmYCxRvI4RnFiptUdiGWwxNq5JciqQb8wvLQhS8xnQ/pL0KJXl0PPzNb34jSTrrrLMkSYMGDZJkex9/9tlnSQ+Caz43xReWB7p3795ZvZ/ngWuUC4pxDylVpD8XoCNldXV1Ur8nelkDCvp32203SYV1U/QmsYdHGaDRTWK3e+Ann3xiGnixcsEY/GSS3K233irJlsL97ne/k2SL4Tdt2mQCUmEoJsOyAvOzR48e7MMEyCjJY8I6vY0pjaMfMaILyuwwkdu3b28a2IWh2AyLZfPXv/5VUsN5UoCfyT2hSR/s5LLVkiVLTPliGIp5D3G7aGg3ffp0SdLhhx9uzjsMuAG0AcL8ZzYT37Xq6mrjEoXBM6yHRxmgyYNOAwYMMD14YReOKSwggV/Bqkz39qVLlxppn8u0FHuvWLGiaKszrVvoW0vP21133VUXXnihJNsCBj9n7NixkmxLGgrWOV6mvB900EFmP1gpFLLDUhTYF2s+rOsrM23w4YcfzmjZZLttSXruueckWf8dBNJYkd9DWtVeddVVkuw95FxfeeUV0/EfcN15j+vT0reZeUnZgKDk5s2bPcN6eJQ60jJsZWVlXIomIYxfxyQAWoA++eSTZp4JqywNy/Bzab3C1PIlS5ZIshFWIpPV1dU5yfa+2Gdcsqt3Pm05aT7NBDR8bCajHXLIISbiDcPCThQGEKWkKTjN6q688kpJdhYMPnA6FMuHdYUaXOvp06fr8MMPT/kZfHcY2LWemFNEdBZrKR0aI9LPdWa2zr777muaoyM9xTclDsE8nnHjxkmyacd84H1YD48yQNF8WFZQWn1++9vfTnidyeL77LOPEUwwEgOW49hIRLPCk7NEXkaE9aWXXgqV9BXD/6HpN+IGmAdrAla58sorzfniGx188MGS7LgPVmPys7z++OOPS7KzeN5+++2MEsmoGBYZHzGDCRMmSLI54WA0FyuMZnOdO3eWZAs2EIYQr6AxOveaGUI0Z0+Hxsyl0+j9lltuMf/Dz+T6T548WZJ9frk/Pg/r4bGdIzKGhQVZMRnZQT6LFRUp3qOPPiqpQdGDD3raaael3Qd5MHJ59957ryTplFNO4XgzFoJHsTpzrkwX33fffSUljyMhalhbW2tYisguqzBMhJWx3377SbK+HKs3fjHvT4eoGPaKK66QZCcRcmwAq2Xy5MlmGpw7bOr666+XZMecuHD94mykisVkWGILDG37+te/bl4js8FoFibPk39FMhvFvFjPsB4eZYCCGLaioiJU5wu7EEFF/cHfsOPXvvY1o9whWpwJMByjAhnVOGzYMKMugbFc5Lo6d+zY0fjKaEXZP/6om4OETVEr1dfXGwZxI+40fSNKykhDxoMQfUU19cgjj5j9sR9XNZMLw6YriGckpmutuDrgPn36mGszd+7cdLtLAuM0Edn/73//M/nkMDVQMRmWXCuxBaymgQMHmsIGF+SN8WGJsRQyCMwzrIdHGSAyHxbfAwalPImo4dSpUyXJDDbm/ZdccolGjx6d1T5QAbEKkvcECxcuNEwUhkyrczZF6uQOYUeAf4qPjc+TaltYIESDGc9JlJiB0rRbJX/97LPPGu11GAr1YTkvztMFzEGefPjw4cZXzRYovBj0DVatWpVxyHcxGZb7Arvff//9kmycJBUYXIbvyjNUiH7BM6yHRxkgbSPxTLWstbW1uvTSSyXZPCt5NlYqNLT4lq7Pmw27Elkm3+lWQaDhnTJlSmgLEDcPHIZ0zIr+N8w3waclWpiuvUuwckOyOuADDzxQkj03cp1YKvvtt19Ghs0VHBPsTgTfBYozGJC/c2VXSbruuusk2fvPc0HTgqYC1lEubWdR5mGZFHOwVtovbCZKf/vtt3XUUUdJktauXStJeuCBByRZyR1moWtqpEKYOUpxNOICOlIgkMcUGTNmjAliDB8+PGEbCDgyIdUXnuAKIm72C7hBBJn69+8fuv3bb79dkpUa8uU477zzEvaPa8G+MZl5sKNCq1atzD0hBYcZ6IJrwqKSDwjYEWjkfLjnEyZMKEqPpGzBM0hALx1wGUj90C2EAgLSflHCm8QeHiWEgoJOO+ywg2EXVl+36Pz888+XZJkWJk4Hd4WFdZ588klJDSV5kl0FYc9BgwZlXJWzDVhwDHvssYdhA/aDmQozuVI1BB5so66uzlgHHDN/YxFQivfWW29JsgUNmJsE2D744INI+xLHYjGzvbBr9+6770qy5upDDz2Udv8Zji3l/zFFXfFJyDaK3oTAvRYzZswwhRm8h7QXKS2CojwXmQre08EHnTw8ygBpfdgwBPsCI9Ny27qwYrJSZcOswF3dkDkuX748YR+UMeHT1tfXF9SzOAgCTIsXL04SsGNV4LMgZ7v44osl2YBKUI5HSRYgyU5rFYQeSBAJkhHQ+OCDDyRF1xMZv79t27Zm22HvQXpZiBCAe+eW17nBt6YGz57b+ZAuj6ng3hPiNdxTN+ZRCDzDeniUEAqWJrIKu8W6rFBsn9dzEUbDNoTL8YNhb6Ky+IVt27Y1qZWw0Hoh/g9iBoTutGPFp+G4iKKShkp1jc8991xJ0s0335zwf5iYGMBf/vIXSbaQunXr1sZnCkOuwgksB9I0gc9m+mhGcD5hxdycC6+3aNHCXMcwNHVvaRdh3yGsSoQVOW7T+7AeHqWOrHzYsMlrhx12WNLKyWuUYpGPzUbYT86Rz1Ig7gImwLecM2eOJGVs/5kKuczLoYzqzjvvlGTzlsjrTjzxREk2ShjcJk2++vbtK8mWz7F/LJKJEydKsvlsrAyQiV3zgcusYMyYMZJsrCAT86VCpjYpbr4zn31kg0y5XZ61xYsXR7ZPLMIo4RnWw6OEkJMP67LRySefbMrk3JELqDz69esnyQrjAdHc6upqde3aVZItKcM3DQNRTdRAwehlMQvYyavBhhzvGWecIUmaP39+wvs456qqKpOnRrWFnwsbwwDIGok85xJdB7n6sFg/RMYB7I4lk+MxZPW+xp6tE/SVJVvWSJO8XGIsmc6xkBiA92E9PMoAOeVh3RVl7733NuqfYKNryTII0VrUSRQBDxs2TJKNgkrW38XPcBmd3CplXS5isVgSs+Y60zXd+2FMWBFtMZFp8sX4QWhN161bZ44Lq8AdWUHbVwrWs9GyRgXazrjnTFsfQMkk4yyCZWRYOaNGjcpqn1FEoPMB153oNcXm48ePl2Rz+kceeaQkadq0aZIa/FHiB5ny0dleg3zgGdbDo4SQVx4WX+ejjz4yag50lfx0wYqWKnKGH0HxOaVllO4xkAhNayHI5P/kUynCOWMBEBHGX500aZJR8rA6u/uhtQp61UIUTdn4sEFFGBpY14LIc9/sN+XrUTBrPj4s++W6YxWhUwc0nkPDHTwf7pVbMcV9d7dVCLwP6+FRBsiKYbPxA2ETxha4FSus3tSD8vqM4iPMSgAAAclJREFUGTMMg+LnUpWTab9smwh1Njm8KFUy7JdzIbrNSBFyqW3atDHnwphJfNeFCxdKsi0zC9HrgnxbxJCLZJxIFLW3YcOPC0Eh9xCfFd03DRfQOtMMIRcUwx/3DOvhUQbIy4dNxXxulQx1nrTtpCofFsKHyAVufjMbsLLDvsXQoZL7hT1RQFFxU1lZaYZdcexcF/5etmyZJBtdD+tWkK4tKYiqkfiIESMk2XayafZn7v/SpUslNYzYlGwOF0sik4+bDaK4h9wr4jHZVAvxbFONRSM5F4UMVgNhDNtk82GbCvnc7LAbwE12gzSYlvRhmjhxogkqIeoHLGCYalGg2BPYmxpRLroIJpiEyELDgsKU+QULFhQ1XePCm8QeHmWAghk2rGA8LGCUq5AhF1RVVWXsWFdISiDsmN3XMXeRML755ptJvWqLcf7AM2zpwzOsh0cZIC+GPfTQQyVJzz//fKQHQ7/bsI7zUWB7W53Dzo+AWLbtX5sTtrd7GIRnWA+PEoKPEhdwjrT+yKdwvhgI+Mnehy1xeIb18CgDpGVYDw+P5gXPsB4eJQT/hfXwKCH4L6yHRwnBf2E9PEoI/gvr4VFC8F9YD48Swv8DtTYXuHAjNGUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 1.372, G:0.7976\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 1.368, G:0.8318\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 1.4, G:0.8137\n"
     ]
    },
    {
     "data": {
      "image/png": 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8uBI6286S5nQPPfRQtbZRkg3bo0ePspPs8SnMnj3bJcaQVB85fllrpyErw0aboOFrwd8B83PPeD5pSUo+wX333SdJuvjii3XUUUdJ8u11aaL/xz/+UZJPQdxiiy0keY2LWDSv//3vfztmhY1tOmhoERMQ0AWQabYOUtImNdfX1zvvMFlK55xzjiTPftiZJFFTpgTzDh061LEf6+OZI7mfWCUxNDxsJ5xwgiTvkXzllVf0m9/8RpL3+nE8WPjTTz/NJJ2jNp5lRdt8GjuQhPJnn31WUnxMkbXwGtvUxGqgo2frNDc3O3bBXoOFyCwqp7yxFo3E0eLIZCJbDp8BrWG4h9jk559/vtMi8XzzPKA1EqeFtckP4NlD67v//vvdc4AWBrNGJsQHhg0I6OzI1CKG3GEYBQasr693EgtJQTtP8oBJhOd9p512miQv4ebPn69PPvlEko9B8l6yZMjZhKV///vfS/JSEXtjm222cSzHedkm4+XYsEhDvIJ2AjmSllIyO0E+up8kwLjFGopnQUczbGNjY8EMVDvVsJojPJIYtpQCCt5LHJbP2KYI0caD0biz5FmRc6TRPT4WxtLwvqgvyGZl2X0Fhg0I6AJIZVgrnfFyUa3Q1tbmJCsMS2XC8ccfL6ndrpR8/BWWjnjDCkbuUTFBTBfpDLPhUSPPkyqeTTfd1MVyWZP9RYY1lcSwDQ0NLuMqWmGUBnKiyau+6qqrnN1rgUaAd70ak9E7mmHvuOOOgkwmzgMvPbZtNVDMhuX+4MWePn164nXlPXZ/WWbNJrVd5buAlxrtLuq3yJBTHRg2IKCzI5OX2BYGR/Tsgs/YlpnWCxon6awXluPxEzuDuljycImpsY+5c+c6yXXEEUdI8vmbVG787ne/K4lh6+rqCs67VEQlajVt1SR0NMMefvjhbkAZ50nMkvEexeo8S0ElA52rCZi8X79+knzzBiInVOv85z//SVzDRl6Invz1r38NDBsQ0NmRiWFtvWG0a4Jlzmp2duC42AJ9+/aV5LOWiG+RcdK9e3eXtWM7W/DTtt7IIp3t+VPRQfzXwr5vlVVWKah4qmUHjCgDJWWrVQPc+6lTp7qqKJ4D8mbJN64mLMPac6xmu50ssFqkjbXDmvhksqyV5CVOLWAHlITxBYk+dJRVYWhX88HgxEnopzSKLxAtO9jP119/7UJDhIoogr/jjjvK3gcXHsFBkjfqzLnnnivJh7TiTIVapOhlQS0fYhw206ZNc85EEiRsl/xafnnsM2dNuPr6endParEfjocz1M7HIYkkqv7a54Hpj5h5iceqfLsBAQEdhUxhHRgNiRWdak7qFk6dJHe4neYeOUaBtCMEgqSyEwEw0Om0ToL2ggULXDkdTifCJkwc6MgC9oWFWjmdmOz2/vvvS/LJEccff7zTMnhGYN9SOv4XAwk099xzT+o9jHvWSJ0lFbEasDOGLGvyXMe1sCHJxjJq6EscENCFkMnpBOx8zJaWFidlCA5jd1KEDvvZSXNx4R27Pq9Hjx4tyZcxUYxMCV/UlkWiY08Q1mHyWjlOp86GWod1bIvQtrY2VxhO53+S/h9//PFqH75oWMc+P3V1de4ZsUkwdppEJUhiWGDDl1HEtOUNDBsQ0NmRyrAtLS05yevecW1FkCp4ibEbrDRBj2cN7NRp06YVSCIrIbFdWRNpTpI1++vRo4eze+209sjU9sCwFSKNKToCHZE4QRM2woTTp08vqRm6pAJWj3uPfR2ZCBAYNiCgsyOVYQMCAhYtBIYNCOhESM106tatW07KL1iX8m0XG4sCVt+3M0ajzJ5kG9i0QmznLMXQSW08S/Uwpq1VCyRdzzgkeSXTbNg4+xP/QtIc4CSkXZekqXyR6WyZjhG3pk3bI5rBPrAdaVUaPW4lmXjF1rCN1Cxsa6E0BC9xQEAXQKZMJ6RypAg8+h5JXrrYrI8s0jorg1kJRquO6KAtPMp4i2PK+xaKl7jY9cDzTSE150HT6iiKXa8sXuK4/VSSZ2uve7E9k70GC0YZt1g807KPZdhykMSecVlKScO3kkCjhWgz9WKe9sCwAQFdAJkYNsn+bGxsdJLTtoqxVSJJ0juaS5xkwyI5r7jiCkm+kB3Q8O2NN95we+T4xTJIOoJh01qCUN1ip7UzHIkxhKXYfKXEYevq6uKaWBe8R2pvSSv5+Hcl4JicF61BaagXPS6Is9G/e19RP0RHghEdVOkAxrSutNJKRfcYGDYgoAsg07hJKw0ibJXoGUvKdOKzWbJkYGvLwKwRZ3ckMXpW6WwRraW0yCrJt9tuOzfuMsnDSHULlUiltOqkaTuF/WkMa/e8/PLLu/GdcTm40ddWWyGXuKWlxTEl58dPmsHjGWVoFu1T7LGiv7PZcdjH5TBsUrVYEqh9jo6FtM+szUfmXMmOwp8Td8+Tvh9cx8CwAQFdACW1OUUK8JkFCxYUSF+kGxIKL6BtN5qGYpUUtnFVlrXKtWH79OnjmktzvAMOOECSb2eK5N9pp50kefZAei611FJuz3TEwJ6hCTV1mkkMwHVdbbXV9Nprr6W+JxqnLHZ+Dz74oBsqzeeJBdscbrQANJsDDzxQUnsHDjuWgvEqjL54/vnnJflrtf/++0vy14P2PzNmzIgyad5eI3XYmRqJR7Wtcj3IcczPdbEREZjUesztIOi2tray25xm+sKyAS4YlJ+lv2opSQc8CDwwnDAXggeHn/yd1/Pnzy84Hnvmos6dOzf1C8sezjrrLEnS0Ucf7f5Gt0YKuDfffHNJ0vbbby9J+vDDD/P2G+22yE2jm+AxxxwjyauIqLVMPqPPr50yED0XO90A9S1OJeYLgdCJqF4F61vBzOQ3HEPLminxF154oZtah7BiDtLIkSPz1kLYMB0BIRe9l/YLAJKKu5PuYTXaFeFAmjZtmuu1vffee0vyPZet4xVHIm1faE+0xx57SGq/FnyGPdpkj6ASBwR0AZSkEqc5WezfbLobsJ9tbm7WBhtsIMm79I899lhJ0nnnnZf3muJomxQRF3S3Rn25Tif2KHmJyqQB5gZRYM8xmMEDq0le+qKt2BREawbw/rQpA0mOlDiGtSYLLBRNdGBmKqrvk08+KUk65JBDJPkQE3tHSzj00EPdzKQzzzxTkr9nw4YNk+QdMpdeeqkk3yIFxj3ppJPcdUA7stcooknF3sNqppByn95++21J7ar6iiuuKMn3GbZzeXge+MkatNYhOSYLAsMGBHQBZJpeB+Jc8JH3SkoO1yAtkX7RaWesi9TFEUOY4vTTT5fUPqNTkgtDwBLo/1999VVBgnWxtLZSEieQ8JwDzE7DN/Zx6qmnSvJ26BNPPOFSDrl2gwcPluTtYcCMURiKCX6lsEf0HAcPHpyTvH0dlxJnbT5YnZ/YVUlzaKL7496RXNHa2ipJOvHEEyX59jIwMu1oYdFp06YVrB0Tosu7hzynxRohZAGfoaUQPoyZM2e6mVK0JsK+ZW4szkju6eTJkyV5Jkbj+sUvflE0ESYwbEBAF0Aqw/bq1Ssnec9inNs8SaoB26IU5kPCNzQ0OLYlCWOttdaSJP34xz+W5HV/pqsj4Tk2ttyCBQsKJD3HSyrNSmLY6KQ67Dx+Z6fKE7JgEjeawbvvvuvWw1sK8zDFG3am8TbHyNK0Lgm1ahGTxliEc9CkSMt76aWXJPnIAo3dOR/uOU384soa7fFKnUBYCvDsvvzyy5K8pnPqqae655QO/nvttZck753fdtttJXkNkGQZ7u2RRx4pyWs7aQgMGxDQBZDJS2wla1rigp2hau1SbBQYd9asWU5S8RlGcwBaZWJD0UI1Gg+W2lkpMkPH/S6KYm1O08rOYHamlXH8tM+CYnZU0lS7UlPqvjuWO8fu3bvnJCUmI0RRygwYi1NOOUWStO6660rytiopq8RwYdw02KQb27igWHldOWmwgM/ut99+kvxYlgkTJrg46qRJkyT5gg00KrzD1k/B8ZnFNG3atGDDBgR8H5BpGJYFzNqzZ0/HOngDkRxXXnmlJM+spKgddthhknwx709+8hO3LtIYOwh2xGbEBrDNwvlcfX19QZuTaBplFqSxIxlFeFWRmNgs1ovOvrHP0pA0L7YUZo1DUruSOJTKrGhGkyZNctPrYFZADBJvMLBFGtFhVew5a6aS9ZyX037GYtSoUZJ83Li1tdVlurFn7usuu+wiyd8rvMfc/6efflqSvwbRYgmQ1aMdGDYgoBMhlWGTkqlhvm+++abAxmL6NBkuZIWQm4uNGU0K5712fGSk+bckPziI/SCJ2Vdzc3OB5Krm9HS7hh2sRKYWA7hg4Ki3uFI0Nzcnsi7XLYpaFHOzJnN5p0yZoq222irvPRyPe2qRVNjR0tJSklYQ3U8l58gzTayV4Vk8m8cff7xjyp/97GeSpF133TXvPWTCATQxxqSiEUabw4G0HIcoAsMGBHQipDJsUiFzND/Xeo7JNMKmpfokWlEjyY2pvPDCCx37EvPCg3zbbbfl/UySoNFqlaSMq3Klb/Rz/N/aVmgZeEKxqS677LKi67MWFTFoJElIs2njsqBq0SYF7yda0siRIwuaC3D/k5qyJSHKrjx3xbLoqpHhxDO0xhpr5K1BfPnuu+9294ZhbJRIkgd9zjnnSPLPLznlREZg1rT8hWDDBgR0IaQyrLWJ7GDntrY2Jxnw3OIVJGYazUKSpFtvvVWSry2FPVlPklZddVVJvt705z//uaRC6UO8Llocn9Q+slwbNm4NW0UCi7B/7DkKw3/5y1+6qg/sGsAaxPCopcT+rTbKGWRl85jJlaUIfcGCBU5TwJMfVw0UhWWUaLzcagrF9hrTpKDYKbnPcC+pGrLVUdyPlpYW97zhHSZbjSw2supgYLTOHXbYQZLPha/Ei536heUC2AJdLnavXr1ciIcTnTp1qiT/INqLz/v4Ijc0NLib/T//8z+S/ImjYtgvvS2r48JssMEG7kFhliyohmrIGqg27IvuCoQ07rnnHkk+zW3GjBlORcRk4FxwUJF2SVomahSJJxy71JttvxiUAj7wwAOZ17A9i1DfKcZvbm52X0wK2JMmHtqyy0i/aEntqqltXFDs3pVSTmenSbC2dRixJs9Rjx49XBIFXTr5Ptx999155wZIQcRZFXfvbEFFUIkDAroQMk1gtxIsKp34PH10eU0PYRjkiSeekCSNGTNGkldFVllllQIpB8tQDM3fYU8kGTM8UdG6detWENQut6cT5VWXXHJJ9L15+wE4LFCFUZXSYNeyjHPLLbdI8tIbhxzXMw1Zkv9t0kcaKIVDm8JhSCL/xIkTHUNyXyPHT33NfSHkMXfu3JL7HZUy3cCCe0d6IY4i1FzOubm52Wk93CuSggDhO545tJiJEydK8mHJLAipiQEBXQAlFbC7D8U4cJCspHIhMSmNw4GEDUcyRM+ePV1wfezYsZLkGnoRoKbUiTVhWNZ+9dVXJcWHYGBtJGex4udNNtlEktcI4lBstkoWyY62QKEDPylyhvm4XjQtGzJkSIEvIa1IHy2J46WFhex61u4mjIGNji27+eabO9/F+uuvn7q2De/ZcsJoeilFFqT0FdOSWAtbm2sWPb7t/EjnSxydJINw/Zky0a9fPxfGslMuYFKKJ3A62Wl65U5viCIwbEBAJ0JJiRM2kD1//nynxyNN8Ighhf/0pz9J8lKHaWwEyNva2lx/W9gQLzGtNzgun0HCYYfx+5kzZxa0XCk2i9OyE8xKUQISWPLeQQqSs64ZB1iEdjI33nijJG97cz15H0XSc+bMSSzsToNlZYL7c+bMSWRqGA7tCKbD+0270wULFrikEdbiuUCTStornnb+ftttt7lSPUItWUNyXDOYFTadP3++iyRwHe+77z5JnhXx0rIGCf3cj3fffbcgJIfGRxNBjguT0g41jVlt26FiCAwbENCJUFKbU4toS0qkPlKZ9ilIKhgEYPMecMABbn7mPvvsI8kHq2HlJAaAYUnCHzhwoEvg4Pi2OMG2F2lubs5JyVKwf//+jllIU4NxaBANyon14qU8++yzJUkXX3yxJB+XxZ6HzT744ANde+21knyRtUUWL3G03Snnbqc2cI/QLEhywYbH3rvhhhtczLzYfB7Ol99jH3ON6+vrnYf+t7/9rTBKgsYAACAASURBVKTCeGySDZs0ZbG5udmtgRaHVoZvg+cEVidSARoaGtx1Qjuh3Q9rfvbZZ5L8vbKJRqUg2LABAV0AJbWIAXFN2Kydi24OK9mkdhi5ubnZpfBR9E5pEy04kOSWza1NPW/evILfRQujpeJjHvgcMd4ll1xSBx10kCTpueeek+QlJzG6f/7zn5J8dhK2zIgRIyS12/V2HguwyfLE/xh1gVQ/4YQTJLV7ie18XIu0RuLcF67x22+/XdBSBRuVJgNoLewRJnvssccktWtGaDRoS1wbPKTEICkcoN0KLWNefPFFSe3XljaiHI+1gdWSktqcgpEjR7rUT1qRUmROVADPMk3TySOAeRsbG50HHP8MdjrX9s4775TktcpKyv4CwwYEdAFUbVSHhc0ZTbJp+vbt6zx4sA92hW0Rw5r83k4Mb2xsLHq8ShqJMwyJfWBzU8BMtgw5p7/61a/c52CvRx55RJIvfiZXdZ111sk7Fk2o9913X0mesdZaay0n2RmlkRaHTTq/6IQ1qx3B4L/85S8l+Xg3mgP3h7auH3/8sWNM3sM9ws5DC8Eu5Vri1cebv/7667sYqC38z6olxTUNhOkZt0EZ3QUXXCBJuu666yTJ+QfwJpMPPH369MQ8ZDQAvMWweSX564FhAwK6ACryEpd0oISc0nXWWcfF6ij4Jm+WzBpYMzKKL2+NUiRZMYa1Y/+kwpI0YnZ4PAH2ZtoAKz7LcfCSEg989tln8/5OBg4+gM8//7zADk47x9bW1lz0fOy5NDQ0FDSze+WVVyT5dj/EIrEpYRhY+h//+IfLJcf+JL7McRmkRV4tOeXkRjPO4oYbbkg8r6zjJi3q6uqcNgAbwt54vvk92h73KZoZZe8v9je+ikob5kURGDYgoAugrEbiZR3IMCxeuq222spJ44cffliSt2/wtjF20tbYxrXKtL8rNuZh9OjROUl66KGHYvfd0NDg2AgJT8x0woQJkgrbs1pv9g033OBsUdvY/KqrrpLkq3OwS4lnYxOSY/zFF184VsZmtohK58bGxpxUWEsc9bSjwWBH076UeDP2HKNT7Fo/+MEPXPta9nT55ZdL8jFKGMuO0YS1uHbNzc2xDeqje05iWBsZwJvdp08fZ0vj/ceGpUm9bQpn285GnyPOAS2oGuMtLQLDBgR0AaQybFNTU05Kb+hcKvvCMLQXmT59ussYIo+XEYt48PBKYg8lZY40NTUlNmjO6mGMgx3HCPA4YsvgFcYOIwNrueWWc3E+smGQynh8YTGLcoYUl5LpJPmcWDQYWJ/sI+w4YpS2rnOllVbSNttsI8nHjyOZZXnv5TrYsZLRriK21Us1PP1JrXE4N+4LXvtNN91Ukr/+ffr0cRpfmp2dBXFN2CySGDaTSpx0sg0NDQU3pNhGUIV4SD788ENddNFFkvy0ay4iU+EICSS1nUmD/bIl3ew0wcPfSJmMTlavNeL2Fe0SGYe4L2xS2p7kk1vonXXNNddI8on7lDnSwseWyFV6Pmm/j0M599Am2Rc7jl0rmoZbDRQ736ASBwR0AZQU1rFdFKPUnlX6EApA4vXo0cOlpRG8Jnxgp9hZ50+ctERNha3p4kh64/z580tWp5ZccklJXm2yKGfCXKmAVfv3718QmKeFC1POs6jEUZTTSbFWiFMX0cZ4dr788suSUhNZt9h7Sv1csQ6dRdov5X2We8e9DAwbENAFUFJYJ812SbKRrNMH9z1r9O7d20lQ0tR4L25z/o7zyaaGRc/BSrdocy+pttO7y3EQRfYhye+bJHkK/ktBFoaNY4di+68kvEfSPfZxUkFJz549C1rnRvtgf/fesu+hLawvBp7rtra2ove1GuFPEBg2IKALoKzUxDhJUqxw2abrITWjCftWgrEGLImNiM2I1zhajM1aVhuIJFfUjGEtoil/0WT7NLBPGoiTfB4HitxPP/30vM9Gz7F37945SQXJCFlYoJhHF/YppbkYzwFsbq9HnDfWenireQ+r4bUGSeG/chAYNiCgCyCVYQMCAhYtBIYNCOhEKDaBvcvRb1IjcWDT9Orq6oq2ooxmw0RfR38mtSaNNtCWCj2icd7UpHEXccnx34d72FHnWE0vcLFjWDsdBIYNCOhESGXYUkBbEZpX1QK1kHDW42mZLZfLFXip+WmbwVlmjbKm9SByHBjVZnEBGqLhLa6rqyvYs91PQCGq8eysueaakvzomFocu9h7wh0OCOhE6PAWMQvbK51kw8bE+iS1s1i0japUOIGdcyPfN244b1wedvQ9HC9JU6EA/sYbbyzIUrIZSlH7p5r3EO3AjqzoaJRjwzKsa911163RrjyS7mEpOdshDhsQ0AXQYQybhObm5ppWuVhYydWtW7cc+5A8W5FrumDBApfTDKNaG9XCtnitq6uLZW7JN/2izSf7SMuIsm1MbKZRHMMm5e52RhRj2LisskryvLMiroFfMSRpnoFhAwK6ABY6w3Y0rOSiSZkdvouUjLa3tJ5kPLg0SrPtXlgrWhnC9abdCE2zYWOqcxilwchNWHvmzJkFUtnuK8Rhqwca3n399dcFeeqMcGGIOc34dtttN0nSgw8+KKlQA6p5i5iugKSANBPKKZpnjkzCZ2PX5rOoYKiqUdXIFjIwN4jX9DiiXcuf//xnSdK4ceMk+W7y77zzTsGcHEwKXs+bN2+R+cLuvPPOkvzcmWqgI76wqNVRxx5fQPo92Q6UmEy2bzPPDffn7LPPdhMQolPiowgqcUBAF8D3hmFBsQZeccX6VvXktS3h4+/8njDP9OnTNXToUEleBabvMCEg25EQhl32u1mjdJTs1atXtBhfkmeBSFJGhzJsXV2ddthhB0nSvffeKynZqWWdX+WgFgzLPbMTCDbbbLOin6VZ4HrrrRf7d5gXE6kSlTgwbEBAJ0LVIuA0O7MTx6oJurXTboQ5NLfeequk8kJEdpaKTU1saGhwNklSoT12KKzJ9G6ay33xxRd688033XqS7/kLO8KsljXppM+cm3feeaegl25cq5xagmvz9NNPS2q3u7fccssO3UMUdjZQOTj55JMl+akTdkJDLpdz83eOO+44Sb63NmxMUobVItgf16Z79+7uHtq5ycUQGDYgoBMh1YbFg5oWbF5iiSUkeQ+pDfgT4iAsceihh0ryrPjOO+84rxueULrHM9sFyWlDL8Am4afB2ga2hUpcIr8NuvOa0As/sX9ouI3HOZfLFVxDm3SBpxkPM4wK80eZ2M7Ntde8VjYs0wQ5X1jp3nvvdbNkOS9scsD5MOOmElTDhrWzXmnwx/PM/eL677PPPs5LXKwFDN5hogS8/+qrr5bkvwNpCDZsQEAXQMVN2Pg8AX6kEHo+SGrOlsaKSe/B3iPGR2J3LpdzNmnSBLSkxAlbQB7XYMx6i7FZ8eRiqzz33HOS8mO6kRipJD9FzTIv09thT2xdUhdbW1vdudmyukhyRVUZlnIyysu4RniuN9lkE+dPYN6rhW2DWwlKZdg0r+yGG24oSZo0aZIk316W+0LRxc0335x5fzyvRAbuv//+vL+vuuqqRe3twLABAV0AZXmJkVazZ8/W7bffLslP1N5kk00keYZNYsk4ZmV6N9432PrVV1+V5OeTIsWxpaLJ+EnMmgQ765S1+P0SSyzhbBFsZ6QjqWl/+ctfJPl4HLYsNnlra6tjvxVWWEGS93TjBWZqGgO3SFFk2ht7mDNnjmNru9dqj9qwrISX/tFHH5XkvdT19fWJzAqwdxlJ0ZGInodtJI4GQwpiZGiapNKYFVifx/LLLy/Jf0eKtbpNXbvsTwYEBHQ4SmJYy0Inn3yyRo0aJcnbT3jbANIGaUyMkrjt448/nlhiBKPBRquvvrokaezYsZK8/cEU7XKyaGyM1Z5r1A7F/rz44osleQbFvjzzzDMl+UFcv/vd7yS1D7CClddff31J0mqrrSapMLf46KOPzjsuQ7zA/PnzY2OE0T1XCgr0hw8fLskPJUPTAdyXZZZZxp1XEhYGs8YBZkULIiLBs2az1dKQ1BweTYf5wNtuu60k7wvI5XLOD0PD+KwIDBsQ0IlQcS4x+jk5sha2nYpFjx49EgcTbbHFFpK8l40Y5fXXXy9J2m+//YptrwBJLWJsfnC0/Sje2P79+0vyDM+5A7QLvMbYbZMnT9Z5550nyZfVYZvedNNNknwOLpkvSW1O6+rqCiS7Zdhql9clPSPYg19++aW+/PJLSX40J0BDwN9QDVQSh6UaiqZ2PJ/kC4wePVqS1+Zo8xJtdztlyhRJ/vnMCgZm33XXXU7jCgOdAwK6MCrOJU5iVpDErCBt7B/eSJgV1jnppJNK2WIqsFlsHDZaB0nVDQyKpIVVsOOJAT/zzDOSvF182WWXFYyRvO222yR57y91kZYtyYCKZntVY9hSKbAsQE4t9+6bb74pYFZAXLkjgB8lbjgX17Nv376S/PXGD8H1veWWWyT5PHUYtnfv3o6FGT6WFbD57rvvLknac889Xdy32PfDoqwvLKrhJ5984lQIjPdqwrrUSaAn/GNx/vnn66ijjirpGEnOJtDW1lZwUREkqMo77rijJB+y4QuL02bYsGFaeeWV8z7DT5IsrCpuez8hQHbZZRc99dRTkgq/5LUCDhKuDUkya6+9tiT/JYhDR051T5uixzXCEcQXleQPzgEH5lVXXSXJ349LL73UJY6ss846qfvgM/fcc48k35kEgTJ69GiX5olgyNprKqjEAQGdCGU5naJSvxbSnTVRQXEUPPDAA5K8m7zMtfMotLm5OScVzpGNhppQl233RBwpZ5xxRt5rGBiJPGvWLFeChSMKVZfkC0rxUDMpv4omTEjt1x5HCYnpmAycQ7WdTuyBUAjJKTBa2sSBaoWaoqjE6bTrrrtKku644w5J0ogRIyR57Q1nE8xHUcPFF1+cmGST9JrQHWthWjU1NSUmT4TZOgEBXQhlMSxJ73ENpNIM/yRcfvnlkqSddtpJkg8NsDc6qWNXVIJiXRPj+vdik9ig+qqrrirJB7+xVQj7wHwTJ050zqYjjjhCkpe22FR77rmnJB9mIBkDB09Uuts92tBZR3VNZB9PPvmkS2JJek81UQnD2mZ7pNKinWDLYtty3dFm4mAdhLzm3uGvIAwW952z6YwhrBMQ0AVQlpf4oYcekuT1/SiyMissdffdd7sGXueee64kn56HpDrttNMk+QLqJ598Mu/vldjRSFCbUE/52wcffFBQkIwt+9JLL0nyDLf11ltLku677z5JPkSw5ZZb6vXXX5ck/e1vf5PkCxk+/vhjSd52JXSAjYPGwr5aW1sdO3D+2Le8t9pIagFbyy761QCNER5//PGCBB8YjWZ3Sy+9tCTp2GOPleQ94cXCllJhW9uov4HjS15z/OabbwoiD8FLHBDQBVHzNqdJLIhH9V//+peOPPJISdIFF1yQ9150fiRXNRg1yf5JmpA+aNAgF4dEktrG3TTfIjke6Qnjde/eXSuuuKKk9jRFyacmol0gyfHAUnZnEzkGDBjgSvDYBx5lPttRbU4pbth2223dXvr06ZP3nkXBhj3ttNOcdx7fAbkE48ePl+Rbw9AUIQt4Zngu0ATJBUDbhOkpv2xrays6yS7YsAEBXQA1H/RpGQuJS7bSe++95xiK+CrNmzti4prNJLKtYbAxJW9n2BEMSGdb/MzrmTNnunYhMOc111wjyZ8zWgawMU5+fvLJJ+66wOCkSHb0BHZS7VpaWgoKEWqR+VYuJk6c6GLIXG9Gh3CdSSvNAqvpEdPdeOON897Hs0SMndfffvtt2RlggWEDAjoROmyUNu1FsPOQbFOmTHH2LN40+96syDICwcJKOpvxFLU3+Bs/YdpHHnkk7/eW6QYPHuwarJ9wwgmSfMz2uuuuk+QL2aNT86JrRtuuWs2jmg3OysHcuXPd/rBl8SwvCsjlck6jw4MPG3IfshSU2CmBZEFhm2633XaS/LNN9KCa9yUwbEBAJ0LNvMTRih6pMDcW2zBalvXDH/5Qkm9AVgskeRhtS5Bo5pOVrDbjKSmmhvewZ8+e7nrghcRrjJTGDrXtL629VF9fX5CzatvcRM+xowaa2dmpMC22YSVjNCxK9RI3NTW5JmvkedPYnP0SB+f+YIPz3A4cOND5H2gBxLnZ+8FnOOb7779f9JxstlrwEgcEdAFU3YYlr5bYJaAVKOyJJGloaHD1hRT61gJJ8UAkLB5XmCDKbNY2xUbhp53ajv2G7XLooYe6LCEybqiDZW2bg20rQ0Aul3MMz9+SbOeOQrdu3Qo0FBijFnHYJGCP2nrpefPmOQY955xzJHnfAfsm5k9jAbQj7gN/jwJmRVskxk48vJSWu1kL2QPDBgR0IqTasE1NTXm1ouUgaRRglMGsR7SWsLbBYostlovuL65lqN2f7Qpha2hhSyp05syZo4kTJ0rydZcwLoOzsI+i3mm7jyREG8ZJ0ty5czvUhn3++eddLB3YuHY1UU61DtcRu5NrxcA1muFZLzfvu/POO10jcLQgWvUSh6eLhUVSO9Q0JNmwqVeznC+QVe1QPSgfi5tlWupxqpGiCPii2tBN1MkT7e+Utl/7d1T81VZbzamIlG2xPnNVCTfYHlfRfUjtX2TrbLKqcUeB40Z769oCcVIvURcXFriOXF+mpbNPCkpI+0TQ4BwcN26cc4ra1jzFZrymfVFLfZaDShwQ0IlQtbAObVxo62Ilhy2dSwNqI43LqolifYlR4aMJFBFVM3Xt6NR2yTsu5s6dq4suukiSV71wVCDRbfGBnZsTVY1ha/aDygWqPb0uCdtvv72kdkciTjTCJTgdq5k0wDHWW2+9iufDLmqwzs/Zs2eHsE5AQGdHzRInLrnkEkmF06ZtW5l+/fppjz32kOSnslfTRrVIYliQduyY4DZr5P3k99GJdbSCse571uSzFLBbZ1O0b3KxGbsd1SImcgz3/1q3XP3uGBUz7GGHHSbJz0kC22yzjSTf8K+Wz2IaQuJEQEAXQM0L2C2wESngrmUaYhyK2bBxEjWpzM8mC8CCtil41Pa1til2Lr8nnGOTNCyLx32mVrN1FjVUg2FLRbSEMAlMIMQvUQkCwwYEdAGkMmxAQMCihcCwAQGdCKmZTpXYBrTzXGWVVcpdoiaopv2zsDyIxVBqeR2NyfBQF4PNtCol1poUb7YN7tKOa8dYfB/sdBAYNiCgE6FiL/GiyjJJKIdhO7I4oRrIwrBxI1WKDXlKG8NS6jWyBRRRz3vS0Km48/vufYvUw1eLdrwgMGxAQCdCxbVPn332mSSfS2xx/PHHS5LOPPNMSbUpaKa4OG2aeyUoNkYhEv+UVJ1CcjscqZwhY9G9WWkfXSeJHe1nGGdhmxPEfbYYrN1rmwDEHb+W4DoxQoWGC4saAsMGBHQiZLJh8SL+9Kc/lSTdfvvtHbA1XxC8wgorVG3NYvYPGVjTpk2T1M4+xepfKxkKRQE1rVKrgTgb1rJ+dM/lnkc5nyN32jY/i67JeklDuJLuIe13qENO8zgv6gg2bEBAF0CH5xJnQZJkrQZK9TDGNSdPYpYs3kE+SzOwCRMmZFqjFM9juW1Os45GwWcwYsQISe2tQ23uc1JtMNpKEvu1tLS4vyVdg+9zHDbTFzapjKtaqEVoKGnPSV9YnDq2RUwWlLN/uy/mCdE3Nwvoe8u0dhD3hU0TBJgBJK3jAKKtD3NprrjiCkleyNx4442S2tXayy+/XJK04447SpImTZokybfAoVyNL+5vfvMbSb7Hb9QJljTZLdLGJ/YedrYQYxqCShwQ0AWwSKjEtWZwc6zU8ro0MKWAUFYpsGxIKAVHyR//+EdJvtNiFiQlOlQ6HxYn4xFHHCFJ2nvvvSX5yQy2+Vsul3PN7Jgd9NBDD0mSHnvssbw1cSQSvoGRMX+iZpA1PRamSlxXV+ccZuz95z//uSTf0ohSUTpgZsEyyywjqbAnd2DYgIAugNTEiY5gvlwu5yQWx2Ma+Y9+9KOaHRcg+WfMmCEp3Q6iwVw5sMxKa8yDDz5YUmnMCtKK7kExu66urs6Fzd577z1J0g033CBJWnPNNSVJZ599tiTpyiuvlOQdRsccc4yk9lkyNJlDC8EmZ2of82b69u0rybPQLrvsIsm3G50zZ46zXS2zdoRtSmsjJskTwtx///3dxHl+x/6wv/fff39J3n5PA+dU6rSLwLABAZ0IxcrrOmQTeCWRoE8//XSHHFfyzArSpHgxCW+btMXBhjfuueeeTPtMQyV7zuVybroajcnuv/9+Sb6NKY3JWGv06NGS/DxfyT8rXE9YEpuV2aknn3yyJK+tMAcHL320yVzWc0iydYv4Z/J+0nYWZqXUEBtzjTXW0IYbbijJTw9gdg5aUykJReVqC4FhAwI6EVK9xM3NzTmp9ITzUvDMM8+4ALzbVA2YPcnDWIqX2Epu4oLYZ2k2LlPlX3zxxbzPMi2NVq9ZUGxWS9TDOGjQoJzkPZvTp08veD+za7HnmXzP+Z5xxhmSvM2KvY1dvvjiizvNgWvQr18/ST62O3z4cEnSvvvuK8lfM2zeUaNGSWpv0ldsklvW5Je0BBxrQzIfB20Pjy82d7du3bT77rtL8jY+1wvY4vxKELzEAQFdADWLw/72t7+V5JkjOmldKhw+FQVSmQycaqKaxc9HHXWUpHYtQWqf4haHaAwPac91hy2zajH19fUuNdDa36DU1ET2cO2110ry0+CJv8KsMAsaETHWrbfe2tmgr7/+uiTPUNjB2MWXXnqpJOnII4+U5MsvWTs6rbxaBezRggJsUrK2tt5667z34tVedtllJXmW/vzzzx37JgF7PDocrFwEhg0I6AKoOsMyTf2FF15IfV/a/FOb11sKyLihYblFJdIZYNfgCY2zC2OOm/f673//uyQ/PKqaiJ5jOTY6Ni0sBNPSWA+P78MPPyxJ2n333XXAAQdI8plLG2+8sSTvOb3rrrskeVb+wx/+IMlfQ342NTUVxGHTzu+7fcee3GmnnSZJOvHEEwv+RhyYZwyNgDm3eInxPbz22mvuueSnLVk88MADJUnXXHNN7L5LQWDYgIAugKozbKlZKWnZObXAwmjgNXXqVNd6BKkME917770lrRVtUmZRrVxiQLUOU+KPO+44SXLT5GHAF154wb2XOCv23CGHHCLJayVkSXEd8LSyVrTVai2bsOGtP/zwwyX52D/HgoHXWmstSe3eZIY+b7rpprFrUoxvvcdxKNbWNTBsQEAXwEKv1vk+MOzkyZNdthDMQuVLsVzSuOypYg3Z0uphbZZOLpdzNusnn3wSux6fpXaVOCz7GDZsmHbeeWdJXnMgD5z4r7X77drRe16s5Uw17iEsiDf4tddey/s7ti3Xfb/99tOuu+4qSRo7dmzsmtV8bisqYK8l4o5PPyW69GXFt99+61SNlOOl3uy4CWTldmUkZW2jjTZyzpY33nhDknTsscdK8s6XrBg0aJBzciV15Ci340QxMOt3t912k+RLBvv16+cEAeBabbXVVpJ86AvYIgAwYsQIPfvss3m/s6mHpX5hm5qaCoRbzEzdvJ+EHQndbbbZZk7oWvDlxoFI8UolCCpxQEAXQM0ZFlVj9dVXj/37wQcf7NqLwBxJPY6rgazSuZRO9nfeeackObXQ4v7773fSGclNEL5U1k5zOoFqMax1+qy33nqSpFtuuUWSNGTIEPc+W+pHeuOYMWMk+WQMrispjHwuGj7JULBQdbMGh9LAgQMl+fv01ltvSWp3uJE+ee655+Z9FhOh1FK5NASGDQjoAlikbFj+X0nn/KQGXpFjdJjTiQT3aJM0/k8ZVzHEhTZgKc4Rto6kPVbEsHY6HbYjx6EUzdqtkg/jYKMPGzZMktckkhwzaeFAfhdpNlD1e7jyyitL8u1eSC/El/Htt9+6VNnnnntOkncccn149qqBwLABAV0AJc3WqUanexCdoQJsInY5KGVWaRxgL86xknONltuxzoorrigp+7WMa0sKsxXzFqeB5m9xHk2Oic2GpkC6IQnxUcA6r7zyiiTfXsba6LAQjAprw55ffPGFO759Rmo1O0mSrr/+ekm+sIH5Qdyn+vp6dz9hVpBU9FELBIYNCOhEKIlhLRvMnj3bBfZLBZL1o48+co2qaaKd1CC7I2C9wnGd/y2sXTZ06NC830+fPt3FHYnzlsrcJCnU1dUVLfDOAsrI4mKUFE5QbE7clfRDWIf7c/TRR+vmm2+WVLxMEM8ytiGJFjfddJOkdg2J4oL77rtPUuEM2VLR3NxcdM7ORhttlHcsEH2dFL04/fTTS9pPXEFJ5s+W9amAgICFgpK8xLVoN9nU1ORYDamDhE9qgZIFtCSxcz6LeYltm48sjbxsyxjsIYqlhwwZ4v5PK5Kk4vNSYD2b1Ur+J3b6+9//XpJ02WWXSWpPz5N8CSOlc0cddVRe0n4U7Il7ShkbewannHKKpPZWq7wn6dovjPRSc/y81zSWR4sqBUntfoKXOCCgC6AkG7YWjZznzZtXsC7ezzhvZFaUO0G7FNvCZveQx0xrz6eeesq9z7YBLRc9evRwXmHLUqXcnzgvNXvEJtthhx0kec8vn4ENDjroILcG2oW9fnh/yRlmj7QMxfOMtvD4448nFjdUY7J9Jdhpp50k+X2xz/Hjx5e9ZqlaZGDYgIBOhJIYtlawTEXrkWJFvosK2D/eW8Y9kIc6btw47bPPPpJ8s7FyUa1YZJwmQbE294EGatY7jN3F+b755puu6d6UKVMkeW84HnNbRUVMc+2115bkvdZSsqd55MiRGc+uNlhllVUkeWYF1113nSSfY11LBIYNCOhEWOi5xE1NTQUMSv4pDayxpaqBSsZNFgPMtOqqq0ryoxfPOussZ2+WMzC62PHSWqhwD7NkVvEe4o3EXxknwuAuBjpHc2gt6/A3a3diD+Npphic4WBZ4t4Ly0tsIwf4KmjtmlStVeaxgpc4IKCzI5Vhe/TokZPSPcrxFgAAAmRJREFUc1VLqRuNwwUXXOCaSgOGATN0qRhKiQ+XI52LVQBZoBnceuutktptH6SxbUVikWS3l3uOxc4vLguIY2GzETtebrnlJHkP77hx49yebLYXdijPB6+xh2l7msVPYc+9llpSElpaWpxWYMH14e/VGG2TxLDK5XKJ/yTlJOVaW1tzra2tOV531L8JEybkJkyYUNU1k84x7V9DQ0OuoaEh19TUlGtqaurw6yApV19fn/vuwSzpHKtx7JaWllxLS4vbQ/fu3XPdu3fPjRo1Kjdq1KjcG2+8kRs8eHBu8ODBuUcffTT36KOP5gYMGJAbMGCA+0xdXV2urq4u07M0fPjw3PDhw91nqnEPy/3HHq688socaGtry7W1teUWLFiQW7Bggfv9mDFjcmPGjKnJc8q/oBIHBHQiVOx0IhTw8ssvV29XNUDkPEtWiYtNi7Owal6WZO8klZciibhyxKQ14lITy0krtYXslZYuZkHfvn0LGrMBytree++9ku5hY2Nj2SYbZkDfvn0Lyui4lhSrkJ5pU1XLOXZwOgUEdAEs9LBOHGzqV7E+vHFIcoaV6nQqpxSqo5nJXp8sTqe0afFxrV6/W0tSxzJuHDoirIOWxDVta2tzoSdm39JIgHRTJiJQyFAJAsMGBHQBLJIMWwmYIHb11VfH/t1KrsbGxpxUXbYoNQwUhyw2Z1IyRK0aiVtEz7PYfrHzmDhQTgF3nI3+3e8X6nNaqn9gyJAheamYcQgMGxDQBZDKsAEBAYsWAsMGBHQihC9sQEAnQvjCBgR0IoQvbEBAJ0L4wgYEdCKEL2xAQCfC/wMZO0MNvsb2uwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 1.35, G:0.7922\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "# Make the discriminator\n",
    "D = discriminator().type(dtype)\n",
    "\n",
    "# Make the generator\n",
    "G = generator().type(dtype)\n",
    "\n",
    "# Use the function you wrote earlier to get optimizers for the Discriminator and the Generator\n",
    "D_solver = get_optimizer(D)\n",
    "G_solver = get_optimizer(G)\n",
    "# Run it!\n",
    "run_a_gan(D, G, D_solver, G_solver, discriminator_loss, generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Least Squares GAN\n",
    "We'll now look at [Least Squares GAN](https://arxiv.org/abs/1611.04076), a newer, more stable alernative to the original GAN loss function. For this part, all we have to do is change the loss function and retrain the model. We'll implement equation (9) in the paper, with the generator loss:\n",
    "$$\\ell_G  =  \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[\\left(D(G(z))-1\\right)^2\\right]$$\n",
    "and the discriminator loss:\n",
    "$$ \\ell_D = \\frac{1}{2}\\mathbb{E}_{x \\sim p_\\text{data}}\\left[\\left(D(x)-1\\right)^2\\right] + \\frac{1}{2}\\mathbb{E}_{z \\sim p(z)}\\left[ \\left(D(G(z))\\right)^2\\right]$$\n",
    "\n",
    "\n",
    "**HINTS**: Instead of computing the expectation, we will be averaging over elements of the minibatch, so make sure to combine the loss by averaging instead of summing. When plugging in for $D(x)$ and $D(G(z))$ use the direct output from the discriminator (`scores_real` and `scores_fake`)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:29:07.443162Z",
     "start_time": "2020-02-26T13:29:07.437177Z"
    }
   },
   "outputs": [],
   "source": [
    "def ls_discriminator_loss(scores_real, scores_fake):\n",
    "    \"\"\"\n",
    "    Compute the Least-Squares GAN loss for the discriminator.\n",
    "    \n",
    "    Inputs:\n",
    "    - scores_real: PyTorch Variable of shape (N,) giving scores for the real data.\n",
    "    - scores_fake: PyTorch Variable of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Outputs:\n",
    "    - loss: A PyTorch Variable containing the loss.\n",
    "    \"\"\"\n",
    "    loss=0.5*(torch.pow(scores_real-1,2).mean()+torch.pow(scores_fake,2).mean())\n",
    "    return loss\n",
    "\n",
    "def ls_generator_loss(scores_fake):\n",
    "    \"\"\"\n",
    "    Computes the Least-Squares GAN loss for the generator.\n",
    "    \n",
    "    Inputs:\n",
    "    - scores_fake: PyTorch Variable of shape (N,) giving scores for the fake data.\n",
    "    \n",
    "    Outputs:\n",
    "    - loss: A PyTorch Variable containing the loss.\n",
    "    \"\"\"\n",
    "    loss = 0.5*torch.pow(scores_fake-1,2).mean()\n",
    "    return loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在运行一个GANs与我们的新损失功能，让我们检查一下:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:30:16.546074Z",
     "start_time": "2020-02-26T13:30:16.260977Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum error in d_loss: 1.53171e-08\n",
      "Maximum error in g_loss: 2.7837e-09\n"
     ]
    }
   ],
   "source": [
    "def test_lsgan_loss(score_real, score_fake, d_loss_true, g_loss_true):\n",
    "    score_real = torch.Tensor(score_real).type(dtype)\n",
    "    score_fake = torch.Tensor(score_fake).type(dtype)\n",
    "    d_loss = ls_discriminator_loss(score_real, score_fake).cpu().numpy()\n",
    "    g_loss = ls_generator_loss(score_fake).cpu().numpy()\n",
    "    print(\"Maximum error in d_loss: %g\"%rel_error(d_loss_true, d_loss))\n",
    "    print(\"Maximum error in g_loss: %g\"%rel_error(g_loss_true, g_loss))\n",
    "\n",
    "test_lsgan_loss(answers['logits_real'], answers['logits_fake'],\n",
    "                answers['d_loss_lsgan_true'], answers['g_loss_lsgan_true'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:32:53.802188Z",
     "start_time": "2020-02-26T13:30:28.501039Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 0.4801, G:0.5179\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 0.3692, G:0.08412\n"
     ]
    },
    {
     "data": {
      "image/png": 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g4bw6OpaYZ0bsLD5h/I3YH2ChQYMGOYkA/R4rqy2+TbRQeyzA5WRYLN/YDMiSInoJz8Q666zjYgywx9h9SGkgWqu2B5FhIyI6AdrEsKHvCtaxLTusD5XXybAh8qWurs7FnZKwzgnFSY/FOcxYkZI5lWbsOd8JfGUlnc7hHG3SOPdFP0+bIwXVamtrnY+ZpGfmiH5ITDHjte1A8lkcS5lje9jH6nXW38h8a2pqXCwxxcWxM4ByZLCAJRHpFFxbUot0RQkg/LFYyYNxle2+kWEjIjoB2uSHDfMBwwLQkj+R8EWi/8AQlEohCmjq1Kku+ge9B8a0cbSW6cLon3BcUuEGza2dI/9mjlwLKYFqC3aOWBinTp3qytvYOFN0Wb67JOdokVZIz+Ydo7sTofa3v/3NFSazxbSXdPPp1iJNgiGKi5I2EydOdC1lrLSwJKtlFBSJM5lMVmrdQ7diFIuOGAmokPjkk0+669vEdALE7UYCbXlQVtQoxxxtPVrGS3eDxx57LPGj54dKCZiOmmM5xUV7mBDY/8Ybb7j5WRdQR/xgl6RITOLJe++9F96PcXTUbaNIHBHRGVCS0cmKY205YazoETqbyyXa5SuYZtHawIlyz7FQkkEp92vtHDuSfZYWliTDLi1Eho2I6ARoV+BEPnbM95kQNgihGFuUG0vydC5n5+3WIDJs5SMybEREJ0C70uuy2WxRFsmXHiblZ9ZiJUqWdrHpUu/fFmZd2nOMqAxEho2IqCAU1GEjIiKWLUSGjYioIBTUYWtra7OSt+hSWI0k66ampkTBLnRTWybDJvkG93DXsNFQhCba1gg2XI971dbWuvBGW5KTcLJFixblDKB79+45IgalQ8MyNGlRPDbiKU1ayWQyLlCeSCeuGT7LQvcII6Vs0DllZUgJW7BgQaqVuDPoytaCWlNTk+NLp0lVGFLJfO3zTLM32H2ayWSK7lN7D+vTD4si8B1eswXvmpqaopU4IqLSUVCHtSeXZbjm5uZEqw7b1sK2F7Qn24IFCxL9XmEjTiFbepLP24D5bDbr4nptKVROLpte17Vr16yUbLsRfN4xOK9xD1vcm2swPpKjP/nkEzcnrg+Tw4oUPuf/Yepa+Cyy2axrmcHz4C+MEp7O/wk+SvYpsGmA+bwZPFfAGrJ2lh0XLlyYaOBlI9vC9i5SsuFXMH63h3iPvR+Ul4kMGxFR6SjIsNXV1VnJMxwIE8Yty1n53aYtWXbs0qWLu55t72HZJa0JcNgR3WaUWF2ksbEx54X6+vrs4r+SvJ5OyZPm5uYE8wPGa1t3oEORata7d2+XeQS4DzotJUqs/sVpTWPhb775xj0X7m91pHnz5v1HMSxzRMIB4d6zNgG7L2xcgLUlhMX4rO2Ev+xT9kkopYWvNzQ0JPYpCIruRYaNiKh0FLQSc2LZUqZhcrI9TWxZThjDlnfh2l27dnUMZQtZU9Rs3LhxkjxjwbRWV6itrU28x3go12JhmxZT2oTTOZPJuDxdcli5B3NBH+UazDXMj8WSS/4rz42c2QceeCDnfVtilNdramrcd1kPnhsNtpY08sWUM7bVVltNki8K355sJVsyFaTtwVB3tJKd9WIgRdridzz/ULqyjEnJGArtWU+FtdvU1NSkZnZh90hDZNiIiApCQYa1xc3yFeGyVmL+wi7ohrARJy4n3CqrrOJON9o5cLrBdtwXJkMftG0Vstmsuw/jolQqLSQsrI5tC6vV1ta6hki2fCWfZfzcG32TU33nnXd2fl2aYDH2qVOn5jwv27bTWuhDyzxjZ44UCSs3LPtZ3bm2ttaNybbgsP8v0EKy6DjSMrvSWmKEMQJp+5R1sNZhyp3y3Pv06eM+QwsWxkORQJ6LtWHY9cpmswm7jZXw0lDQ6NSlS5espFSRsLm5OWFcYvPy2QMOOECS9Oqrr+Zcm/q1W2yxRU6n8sX3leQ7uXFN3Bl//etfJflOAEx2tdVWc/e1P+qgG3Zetw5GINvfduHChe6HaUUdHjo9Vj7++GNJvvbuDjvsIEnaa6+9XGVIavsyf2otDxgwQJLvfkD3ABaQWsA77LCDuz7jsa60+fPnJ4xOrQmYsJ9de+21Jfn1sPWZBw4c6NbEGigxntnAEeZlXR5hHei0saa5dSAHW3GyqakpUZXfdmugZBHz4N70itp888319NNPS/JiK9fnubCHeF7/+7//K8kHxzCulVde2T0X9qtdw2h0iojoBCgpvY4TwnYeq62tTTAT7EvV+BdeeEGSZxZOmauuukqS9Omnn7rTj45n9BiFFWF4CmExDut8njt3rmPWNKXegvEi1tg5ZjIZF9TAqQzDUun9sccekyTXoY7qekcccYT7/KGHHirJsy79hKwI9tZbb0nyzxxG4u9HH32UYFbmzzjzoUihgryf4fr0gUHS4H5IB6+//rp7bhdffLEkaejQoZKSYiGBIbaedfi3tWGTjN/uQVSFTCbjxmdVDLopTpgwQZK0/vrr51yb+Xz99dfuu0iN5513Xs5c+C1QKRSpwu7TefPm5eyv8L00dw+IDBsRUUEoyLBWyedkD8u72CAH9FBON1iI0wkW+PDDDyW1yPubb765pJY+o5Kvjk9fkzvvvFOSrwO8yy67SJKeeOIJSb4C+xdffJEID7P/t7AMzBzDcEhr7EJH4XVOad7nufH/fv36ObfOL3/5S0m+e93gwYMlSbfddlvO8xo1apQk6be//a0kuWc0fvx498wZOyd7MYNFMYRdCcN5wBDcF6MKxpeBAwe6ZwH73HzzzZKkSZMmSZJuvPFGSV5aYj64QmyYZ2tg9WDr3mlqakoE7FM3m33KmtrOFUgEffv2dW4zmJU1wnB41113SfK/AfooPfroo5K8Pv/ll18mAjNs8H8aIsNGRFQQCjKsDfa3PWAbGhqcQ9+meHFSwZK8T89UTt4xY8a4kxq2geU4tTkFcY3weVt5v7m5OcGYNrjCghMt7KESIpvNui5tuHewTnNiwnD8pTcqrqSbbrpJY8eOlST9/Oc/l9Siu4dz49p086aTH7o/VuaGhobEaQyTWxYpFTZFMs3lwH6gizydCJ9//nlnA0BHZ1/069fPjVvyeiasVC7pIB9CSRCdEQsva4hdgvvzPvsUV95DDz3k1oyuFaw/32HvofOz/rj5/vGPf0hq2adWKkjr/GARGTYiooJQ0A9bV1eXlZIMGyap8xoyP6c0pxD+V/SebbbZJufvBhtsoBNPPFGSdPbZZ0vyTHvQQQdJ8joUOsHvfve7nGtykoWpejatjv/b9LqePXtmJc/qtp9MfX29Ow1hA05MeuiMGTOGa0vyVmJYsqqqylmMCbdE1zvppJNy5nL00UdLku67776c1znp3377bfca64AOD1u3t3sda8o8rdS01lprSZL23ntvSdKee+7prMKsDZ3YaefBWLfaaitJchKH9WmXYiFO88PalDhbTEHy+5TXWCOkBdafcdNHaOONN3ZrgwTFPj3wwANzrsnex/bC/mWffvfdd4ngk6DAQt45gsiwEREVhJIY1gZMh+lmfB92sZZcrID4t2CD/fbbT1LLqUN0CboYVjZOeHqn2ugQ9GK+v91227k+pYyHE5Uxh1FAi9/PiQSyVsoePXokJAzGd/LJJ0vyXdMPOeQQST78kKilbt26uW7sL774oiQfqE/EE9Zzm1aHbktywHrrreeioGAnfLSMfdasWe1iWNYZi7WN5OF5wLDTp0/X22+/Lck/d5vET/C/7VAIa7Mv+vbt63TANFj2oZSRbSVjxxK+xrhgw5deekmStOmmm0ryUsXuu+8uqcVPT+QS+i/7j8QS7DW2oAD3wm6z1VZb6fnnn2cuOc+B8S1cuDAybEREpaOkBPZ8llOp5SSz5VKsP5bT/8c//rEkr/9wGjU2Njq959xzz5Uk/f73v5fkA+E5oYiewqeHLseJNnPmzLCIVWKsi1/Pq//Y5OcwiWHFFVeU5JPMeR60IsQPiwWYkxerYjab1XHHHSdJuvzyyyX5lEEs3P3795fkdVz6khIBhWV85syZLgrKFv8CYaG59iSw29Qy9FTmCxPOnj1b48ePl+TtEJdddpmkZHw483nllVcYn6Tcci7FYBmWfWotrGFRNNbXWsCRCNlr2BaIW0e6mzNnju644w5JPvrpuuuuk+S9GVyDfcG+huGxkM+fPz+xTy2srcXNNe+nIyIilkmU5IcFtsyGlPRf8h6shN6D343oJD738MMPu+/S9ZoMCXx6nGSc7LA2DBNGAdkCbpyssHDiAZgyqPlKqdqmy5ykm2yySc7rRG89/vjjkrx18Nxzz3XdynkN3RSrJKmFxx57rCR/SnNv9ONLL73U6bvofVwDNigXbIokcc6sIc/uvffecxIBLEyc8WGHHSZJGjlypCTPRpZZeaZID62BjYXOl7pnS5AydvRPbB3EqxPrzTN44okn3L7bcMMNJfn1/973vidJuuWWWyT5teOaWO/ZpxMnTkzsU1sUIQ2RYSMiKgglxRJbFuV0qq2tTSSsw6xEvmBhtOUy0GlPO+0055vD+rvllltK8hE1559/viTpT3/6k6RkmdHXX39dUgvTpI05LVvHRkJx8nEir7LKKs5/RtQOn8HHjHUWHRt9EwvwiBEj3EkOs6LL44+8/vrrJclZuYmKIeb1nnvukdSiA6LTY1WHaYtFyRSDLWodWJ0lJYsT4IfeaaednGRgM6/OPPNMST4DC2nJSjbco5QWphbWOmwLAtbU1CTytZFSiJ5j79kkfSSGY489VkOGDJHkdVF8zXaf4jWwObfkMXft2jW1SVxazDso+INFTGFDWId0jx493IO2P2aMDRhREI1xNh911FGSpF133dU9AAIjeIiIlgTMI1rwQ8BsTlDB/Pnz3cPhszy0tE3AAWODDxBRqqur3cNkXDyX7bffXpJ05JFHuvtLXpTHADN8+HDnEmDRcc3g7mGOGKwQtxB3ea4ffvih3n333Zz7oSrkQ7HE9Xw/EObLvX/wgx9I8m4e1m7rrbeW1LKmiO64qyZOnCgpGWrJmNkP/FB47m3pSGArPAB+yPX19W59rZEH1yFGQcReSCTcp+w31hAVhEOXwAruwbowRw7yBQsWuOdgKy0Wm38UiSMiKggFGZaTwdZO4tSeMWOGO90QTzmFYS7Eg9GjR0vyyjyMfMABB+iiiy6S5MVkvgtzwmgkBiNOIqrCht9++22i6p1NtbLgpLNmf64zffp0J85yguO+4bkQWslfUsgIFqiqqnIGKSQOQt9QGWAzGBcDBQyFiNzY2OjEJhjE1r4KUezEDt/n37AMz+TPf/6zJO+mwIDGM73uuuuccQn3DhIBxkb2CazEfHnOVkRuDWBnm9APZs2a5dQoq74wV5IrEN1JiWM8++67r3NVIe5jQKN8D+uO6AvDWnfgggULEjWLixVaAJFhIyIqCAUDJzKZTNb8X5J3Kn/++efOEW5LXHDa8Dpy/6BBgyT5ULCePXs69n344Ycl+eJV6B3ovTAujApbM54pU6YkyoPY0zYtcIKTDVYhkOGdd95xJyX34XRE/+D0JlAcYwTF5aZOnapTTjlFklxIGro/zwvpgnHD/JTS4f3LLrssp9TI4jnZv0UDJ0LDku3WAGwlQVh/r732kuT18LXXXtslbzNeWJkAGZ4J+jfXfP/993PGUwrDpgVOAPZp2C3BupMADAsIqcXwyT6tq6tz7Mu+I9QQyQupCcmP9XjkkUckeYPje++9l2pkCkJ9Y+BERESlo6TQxLQyp/X19Y4ROJE4XWx3ME4yTpkLL7xQUkuoHo5nLIcEYMNKBFTwPjoC+hBM99VXXzn2wYKJtRJYhiXBAZYMO/NJLboWpzKlQdDLOR3Rx9CtATrt6NGjnW4PW2M1RXdiziSso7sSrIB08dVXX7lnTokS0r3y9WUpFpoYWolxedggEls6Bn0U6+jxxx/vOhhwDdZ0t912k+SDYZBOCNu0NodQIuK5WutvGsPaGthhaCX3RUpgn9pOdEiMsDOlfK644gpnuec99iVlbrk210KawMWJVPXtt9+6+/KckCpBZNiIiE6AglZim/oEwrQl27OVEwpGpQscJwnMAXsuXLhQP/3pTyV5HdaW1eTEpFQL4WuMKwzRY8yk9aJ9FHsAACAASURBVNm0pbQ5Mg9rtQwDJ5gLKVnWHwqrU4Ef3by+vt7p8JR9pSg1py66M6l5WJhtYevll1/efRZmtaGKbYWVimBSrkuKJNZ6LN6NjY3O53zDDTdI8s/GpjfyDG1aZhj8YMuWljpu68sNE9htogSWf9af5w1LIsWdcMIJ7lpYwpGw2KdIfrA4BeXx22IlZp/U19e7+8Ks1hOThsiwEREVhJJ663CC2Uinf//7307nws8Ik+AbtBY7dDjY8pBDDnH6HZ9FF8TqSgkWgq5hIVu4KpPJJKKygtIweedoC13D6sz9ww8/dIH3WD6HDx8uyVuNOVHRoYiIgj3XW289bbbZZpL8iUrIIVbJ+++/X5LvZgcD89zQ+ebNm5cIZOckb0uJ0Gw2m+iLwxrZQHykJqLYsACPHDnS2TB4/jAV/uPXXntNkpcGuHa+rndpa5UGuw9sYsHs2bNdGVN8ppQosn1xWH8YGGnimGOOcaGplqWJ0CN0ln363HPP5YwjnGNr9ymIDBsRUUEoaCXGR2nla5hk5ZVXTkTZoMNa1uS7BEqTDHzCCSe4VhdY4dCDOMm5NvGq6HXoWOgIZ599ttOlrAUXxrSlN5gj0VSwFX67tdZay7EBcyD4Hisw5VEYHwn26LDHHHOMrrnmGkk+LhcGxd+LHgTbUWYT6ypsduONN7qAdHQ2G/PdmgT2MDDeBv+zzrajH6lzBLtfdtllzg/LGmJRt6VXGSNlVqzUNmzYMHf9NFgrMfECtgAf+3b55ZfPSS6QfDQdEiK/A54pUV0kZZx00km69957JXnpgc/Y3sPsF6Qp9ilsfuqppzrrM/PGLsHYwzUMERk2IqKCUBLD2mJWnAK9e/d2/+YUQa9DrifjBr0PPfDuu++W1FIK5dprr5XUwkQhuDasROkYTjDYMGx5mU+vlbyuav2wtNTkpIPpsCp2797dSQucpDAcOh06Nhk3ZG0gOTz++OMu/pY4ZCzP+Lgpj0PZUyyQtmh5t27dEkWwGTtznzdvXpv8sDa5m87i+LKJUsM3jCV+7733dlE/RDTBVDxHvsv65/O7Sm0rEQPD2n3KPbp165aIk2afYnMhdvjggw+W5Pct+/TSSy917VTIzkJa4L5EgLGf2XOl7FMb+WT3KYgMGxFRQSgpltg2lArLeaDrwWTod+iynC744/DDUUYjk8kkkpttt3SifDiVuAb3Cts8WD3M5l/OnDkzb6STbUSNbjN16lQ3R/RNGB4LL7orbElhNTJCFi1a5EqokJlElg6foSgZcyPLBR2WqK6wWDrrwTMmimzatGlFGTbMk7Xxtayl1ausv5M17tKli7NyI0HYUqXokNZHagsblIK0SCfbYAo2nTNnjvs3n2G9bSMzJEXWAYtvfX29LrnkEknS1VdfLSnpHeD/rAu2FZ4TOmz4vHnWSCJBIfvIsBERlY6Cflh7YnEywDArrLCCO5nwwyG3wxz4ojitOYGJfJo2bZrzX3G6oKMBGMy2qIBZOD1nzZqVKJfJCQZzWiA98D7f57RcccUV3XhgUObI/8lhxbd6+umnu+9KLac1OhHzprwM98M/iGUcwFSMc/bs2Ql/I8+WE70UhOVf+TdMAfABMwaeOy1UyAt9++23XVtM23Ii0MkkpZciLVYZoxBsU2SuEUo+rC9SEoyGVIKfG4mMSDzW68svv9Qf/vAHScnoOPYDvwXYO2w0Hr4+d+7chKTB/JFe0lBQJF5xxRWzkv+B2hS60OnOQ7MB5BhseJ3JDhs2TFKLUs9riLhUXSe4wqZ5hYnA4bhyJmY2QKDU54gaffr0yZkjGy1ftXjbUZuHjfiMeMXfn/zkJ5JaXFeI1YhYAINV2sZmsUP3GOOxZXkYe0NDg5sj4mJrfgj22TFvuw6EaI4bN86N21YKTKtW2R5YkbhHjx5Zyf9w7CEgJYMqbEI79Yk5ZG3a4x133OG+SxkffqA2RdD+TvLVj843xvD/0a0TEdEJUFJvHZvmFBo9bC1Y3rOntK07m6/olDV1wzr2ZLduDF5fffXVXVigNToFY845uerr63NSCDkdYYimpqYEs3Mt2xEB4wIGIubY2NjoRC8CIDjRrchrAwl4BgR+7LLLLi6BwHbaC/q5JoxO7RE5QZqBqC2VDtNQyrXSutfBmjY9cNGiRYlr2nBb3mcfIE7n67lrpSDuxzVtYoPtQtGnTx8nRdoevIEkFRk2IqLSUVLgBLAsGoJTxHbxhjkAzIVO991337nPWnYGtoyGdTPl01XsuPKxz+JrZaVkOFs4D3sNmzLGuGE6wBxnz57txmr1YCQP68qyho3w9La1lvN0nS9Lb51iKAdrtwVpgRN2HOFzspKglRas/skzDQ2Ndh9YCcvuU2tbCPcp/7YSVSAVRIaNiKh0lFT5354ooUxu9VssYqH+IPmTCz0PV0kmk0mEEVp53jJaWr/aqqoqx9Z8x+oTaXO01u6QvUkJY462Sry1ApLoTQBFTU1NQmfiO/aEx3XF87HWzOrqajc2WyQ9n+RTClrLlEuLWdNgrbL5dG32g+1Pa/ep1WUJP8xkMglWtPvQ2mWsTSZM0g97LNuxFkJk2IiICkJBHTYiImLZQmTYiIgKQkEdtnfv3jmpZ1g0CYHLZrMJS6ntcG2tYPn0DUILCdAHBGDb4HOrW3PPXr16JYLMaZwVdNLOGzhuI2DCCJ00y2Ihv6S5R8KXC6zulFbUO0xqYL62W1vwjN0AlltuuRwLar41tBZyu4ZpfVdBJpNxOiK6H2PjuVtbgV1DxpBvDUmFI8kjTB9cfK+s+X/B8VYCrCUcRIaNiKggFGRYLJkwHz7UsGQMlkoslzaW2JaV4X1KiUyYMMFZX7HIEQXENQiIt82vbEzv7Nmz3XW5JpFVxWJarcU3fN2yno1LtUxn40Sbmprcv9PYy/rs7LX429jYmBpRk49R7PMPrZ68z5owNizV1pLNWvOXYnmUrpW8L5qYXK5J/C2Myxpaxp01a5azstt9USwwHlQysxZDZNiIiApCQSvxCiuskKP/kIVCSdPm5uZEESlgS2fCMET/cGr26dMnJwFd8qUwOZVphMvrxGFy4lLC8tNPP01kltiSlzYxGP0nrZRr+F3LqPZ9YHXbTCaTiGSxrJzmWwYhIxZrSRjqsN26dctKfn3IiCKdL58Oa7vXw3S8jsQVsqlNzkZXZr0p1M3r6KmwOKmJ06dPd2tnY8i5dtoadiZEHTYiohOgoA5rdVbKloQ5o7YwNIyBzsj71rIZxgPbUp7oWyRKU/YUJubkhTUot5LJZBLMylgpCmeRxmggjN21LGkt5LbthM3u4XrhaxQne/31193zCO+Rz6qeL8JL8hbaEFZ35hmHVluiz2A9WwqGNWRszCEsIUM2EkyLXkySO8XMwgi38DmQZVVbW5uI4OIvrVCWBgplEWFjsW1I8l2j0PtS0otgERk2IqKCUJBhbStA9BFOwy5dumjgwIGSfClMW27EFvtGh+JaJ510kmuHQDkZTnzKqHDi25he7sU95s+f73y66FewxF/+8pe8c0zzoYbMlmaxZVzWwouOx7XCBlZIA1yf58I9bMUGy+bhfawPkxzOEFay4flw/draWmftpXICIE6c58t3KB3DvA888MBESw7mQdUQJCrW3ZbsCRtx24wv1hsppCOQVqGE12tra90Y7djt/9OYtBTrdZqkB0qq6YSJnh8BP6jvvvvOdSmz5nk2JDV6qZlD/aY999xTUkv1xPHjx0uS9t9/f0m+kzVVFCnTQQ9V6v2y2d944w1JLfVxx40bJ0mJJIC04OpwQcLvhQaPtORnPksXN8bB5zGGbbPNNq5bOYEcXANjDMEB1D5mowfV/CW1GG1szV/rIso3VlvFksNvwYIFbgy2ex3zo7fQBx98IMnXI6ZqZP/+/V2Ve54FNb3oPo5KgtuN6v4c/hzaQ4YMcdey3RuKbebWwP6oMHoh1trKkZtttpnraIfhLDCCSfIHG3+ZWz6jZLFglDREkTgiooJQUn9YTmBOOkSA6upqxxicTDATJ+w999wjSdpiiy0kST/72c8keeatrq7WiBEjJPlK80899ZSkZEoePWyoaIhoFnZmtwwJM+GSSoPt2h2mX3HK2qAHxgXjYHhBnMJY9vnnnzu2OOqooyT5LgGc0kgC1GC2RhmeRUNDQ0JcLnRK833Wx65hJpNxrI67jPlSQI+aw1QQpIAe1SEbGxvd+HbYYQdJ0kMPPZQzDqQ02JMAClQnDGYffPBBohQRzMp6lxNW0mE8rAtzf+edd9yzoz4xz4HxsmYYYO1eClm1rcEdkWEjIioIJRmdrAMdRps9e7b7N8naVhfj/zAHpzaO++9973tOJ6BnCd3f0GXpErbxxhtL8oaNyy67TJK0/fbbS5IeeOCBnBA+yYc5cn8Le9LZch6hWwcWwXBmnf5IJJzEFFjr27evc0mceuqpkqQLL7xQkg9CYY4Ei6Af0vOFe3399deJ8eQzTAHrimIN0bPmzZvn2J174KbAQMXzRSeza7r55pu79aaeL93Z6LVDt0IkLzogXHnllZLkjJfPPfdcwpiGvm3L6LQGNtjESi5IFTwn231+4MCBTkrA3cg+JTQTiYpr2/0adKZr8zwiw0ZEVBAKMqwt1ZIvVW7ChAmSvP7GiYSbB90ReR69B/a5/fbb9cADD0jy7DN58uSc+3L6cpJx0tKfh56wzc3NTgeBLWwwRqkIT3mCQMKiapI/lWEedNpLL71Ukrf03n///c7tQfFtrgF7cOoSHMK4YXP093z6jw2dDGEL1VmLcnNzs3uurBW6LGNk3jDxmWeeKclLVbfddpvrd0sHQtiXvYJkxb2QsAiaoX9umNyAlIQ3wBb0aw3Skixsiib/v/zyyyXJWYbHjh3rgkLoeMf/KQ7PPuEva44Uyj5pDyLDRkRUEAoG/5PAjkURXZMTuEePHonkdpgWtsTfhuUM6/A222zjrnXYYYdJ8mF6+P1OO+00SV6noi8Peh0nPlbj8ePHO0si7GBTs8LAeCm9RGYYcG59tZzCgwcPluQlAsaDRXz33XeXJA0YMMDNkc7k9LzdY489cq5Nj1F0WvRhrKqNjY0J67D1fYeB4ySwc+qHfYikFl3NriG62rHHHivJ93SFremhyvwlufnttNNOklqCKSS5vrhc8/DDD5ck182c8cDIkyZNchZjWI+1TFvDtgT/s6Y2LBOpCZ2c0MqhQ4dqn332kSTdcsstkryNheeAVIfuipRpw0Pb0gMXRIaNiKgglJTAzilvdbeuXbs6XYDTw0Z9cCqi28CGMN9KK63k/HswJzoLLIwOi7UNSyORRERb7brrri6iCH3HJh8UQ77yLoBr2JA9GJfEa6K60EMnTZrk9ECswzAocyFkkcgg7mETvwcOHOj0KquX5dNhGTNrZn2c9fX1bg1ZKxtiyTVgG9YQ9OrVy0Uw4bfkM5tvvrkkb0nHZ43/HokMfX/o0KF68MEHJfnnCvPzTMoB1hU2R4pkTZEI2YsXXnihe4Ynn3xyzjVgaXzdRLzxvi18v/baazsdvtXjbtO3IiIilgoKMqw9nTmN0Iey2azTL4kUwcp50003SfKtGJHriSlFZ6mrq3P9VYkdDnVSyVt4d9ttN0lyHds51WHrqVOnurEiHTCetFhia2HNp8vaqClOY5IT0MPQZWBNmHa55ZZzSfgXXHCBJOn666/PuS86ExbH22+/PedesOhbb72VGGshvx5ryPdtw6jm5mZniYZNYPPbbrtNkrceo7OhZ7OG9fX1bq2uuOIKSb6jPPHHgFjj888/X5IvM4Me/corr7g1hPGxxpaz9Av3s83I2J+wJs+kubnZ2W5Gjx4tSfrNb34jyTM/z5H9gCRkffttZVcpMmxEREWhIMNi9czXZlJqYVpOHU4RdK4BAwbkXINT5a9//askf3oeddRRLq7WJoTjuyOTg89hYYV9sCYfddRRjqmsLo1PzMLqfYU6gttWEJzC6HroYfiVYYpnn33WPQf0cSQOooiI+MEvaSUFmPfNN99MLeCWT0+3fmkbFdXQ0OBsE1wPfZs15PrvvfeeJOmZZ57JucfZZ5/tvAIwlY37RWrC8oxuy72Jchs9erRjKtYQBsMmUE7wfBg3sc4wL3vx/fffd/51rMXEvP/0pz+VJI0cOVKSj7m2RQjYJ1ik24LIsBERFYSCDGv1J1sca8CAAc4Hif7GqYheClNstdVWkryVkNcPPPBAx+AHHHCAJH+iogPeeuutknyCO7rjrrvuKsnrEqussoqzPsIo6I62DSVIK9gdsqllfqyW6FZYB21pmP3220+SdOihhzr/JPo2MbbofMTeUkrF6s2wW11dXaI0jC3kFsJmksAkfKdv376u9A+sz2dJGGdeSAd8HvvFgQce6FgZmwV+V/KTiWR6/vnnJXmpqX///pJ8HO5KK63kpCT2n03ybw9sxBfPkn1rC9LB/EOGDHFSBCB/m8ivc845J2eu/G6QSJEmQqmutXp5wR8spnjEXh4gP7Y5c+a4f7MAiKBsVn6EbBwc54gXw4YNc8EVpGbxYyfcDVcIBgp+/Cj3PLhXX33VbRAMY2yyNFjR04rCtbW1ocM+57tsWNwdbNodd9wxZ+5Dhw511+CQIbwS8ZLnwoZBHcC9gFGvoaEh0cXPJp6HsKlz+WpL2xQz5oHqQbA7G49nevHFF0tqCRDB5cbacD+CLs466yxJ/oe82WabSfKHHwfYxx9/rEmTJkny+w01oc0padXVibXjB4tITLghzx03JME82223nTNgcrCxT1GF2L+sC7+FoG+vm0dMr4uI+A9AQYZFTMBgYqvpffbZZy5YAFcAKW8YDkhY5y8nK4z8ySefOPcAJn/cN5xciMgkRWOoQURGXKyvr89xV0g+fS2tlq8N+rZunvnz5ydSsTiFYQdcMFas5RojRoxwCQqEImKAwBgGqxEcDzMidod9a22l/0KlUxDBeYY8H/5OmzbNSQp89oQTTpDkDYgECvA6n2fdGhsbnfqCBMEasTaMlRJBuIhgZgxKixYtSnQcwADUVpE4ZFfb/5U1GjNmjCQfdshc+fw111zj9jBSEWuC2oXEZ4sFWFWp1CCefIgMGxFRQSgY/F9bW5uVkhX9kOtfeuklxzboNZyO6GicZOgoOKYJ/p48ebI7uUjVs+l8KPuMFXY499xzJbVUXpRaAs1twLhNGm5qaioYOM5cCWmcMWOG00Wsy8e+ju6KPoQE0L17d6ez//73v5fkmQVWg5E4rcHjjz8uyTPu1KlTU41MQQkSN0fWEDBmgk7eeOMNF+JJYjqMjQ4JUzA/1pIw0I8++sglrmNDQDoDRxxxhCS/Ltg0SGMjoeDyyy9PGIKszl5sDUFoWEorp2P1f9xNFAmk4N8GG2zgAkkI8GGurBlFCgiVZS9ipLNGqEKIwf8REZ0ABRmWvixY0jilOHl79OjhTjFOW8IGOUU40QnX44TFKnrqqac6Vwx6L6ctFkZC42Au3DpY6WDzadOmubFRkmTvvfeWlKMD5j2dbW9U5lpTU+NOeIIXsBbaQAr0UtgQ8/55552nLbfcUpLXe9HlCSSA8WAzwtqolI/Ve9asWY4l+vXrJykZ/heezvX19dnwupatwoB6xktigg1NRZoC6HmjRo1yFnzWitTCu+66K2esWFhZQyzCWKinTZvmpDSCSXCtFFvDNIRV+213RdsvyXboY48dc8wxrtwu68xc0NvZH0gGoV4e/g1/c4zHdleMDBsR0QlQkGGXX375rKRE4Wqsptttt50rXXL11VdL8qcHDnIsZ/jnsA5zwnbt2tWFepHwa/v1EHTACYvlEWssugFWTcmHmPEa1taGhoack6umpianyzyANevr6928N9poI0n+dOa+sCB6KJbe0NeJroYOi8SBHgRDYRFl7ljfw3I9PAdOcmvhDnW8Xr16ZRfPO+c6rOHAgQOdjmUDA3jOAL8s8yPcsK6uzoXnvfTSS5KS4YSUsIVJbGF5sOKKK7rnyn3w3RLSt2DBgjYzLDYV2I79ieRHOCZSC+83NjY6aeHOO++U5K3lDz/8sCQvXRCGy1yRVEJrte0wYREZNiKiE6CgHxYLpg3Jg3EnTpyoUaNGSfL+Kyy+tNWYMmWKJM+a/B9Gy2azTp+jqBdsg9UN/yu6LaGK+IDfeustSS26pe1eB1OlpaDZMD8b6TR//vxEn1rGRVEt2/sWXRzmOuaYY5x+Y9PpkB6I6kLX47sWVVVViU7k4bO0sKGJMAZMO2nSJFfcHDsEzxnrMetCsgPz5tprrrmm08GRuAhRHDp0qCSf2I5NgTXlOeDTnTNnTmItYL+2+i+z2WyiXzFRfLYfEc+J97GPXHTRRS78lkLilKJFakSqsz1wbVuOsF9waxEZNiKiglCSHxZ2hHHRKTbddFNnMeXksqU+0Wk4yQjUJ1Xu5z//uYsQIgqISBJ8YjYxGJ8eJWSwMN51113uO+h3fBcddtGiRTm6QXV1dVZKBoPD1D179nTXsh3I8VvaWFH0VOZ63nnnOf2H8V177bWS/EkOe/AcsZ5ireT5nXzyyc56iv4De+TTYVlD2N82w+rfv7/TMxk/68sa0dWOZ4gfkoJyxx13nBsTrIP/EikIKQXbAN/F0oqufssttzhdGR2QPYWtwK5hMR02ZDTWyib0W+sxujUFz0ePHu1K1yAtwbTsHeYGs/LXlgfefffdnQckDVGHjYjoBCjIsHV1dVnJn9wkJYeJxVhGsZANHz5ckmcEEtbxpZFZQ4bOiy++6LJaKGMKa8MKpKCRxoSPkphNTt4+ffq4kxorpfWBzZw5My/D2r6gYZdx23EcvYuorSeeeEKSL+3J3LAennPOOS6yy2a+wKwUGMcHCtPCMgF7Jlp02G7zYRnQLl265KyhTQ7v2bOny4ZBYsCvCOvgiySijFK1sOjTTz+t4447TpL3zcLGrAOZPawxOjpZPUhvyy23nHsN9mNePLO5c+e22Uoc+tclH7VF2ifeDNJG8VwMGzbM2V/QZRkzFni+S1xymm0hljmNiPgPQUGG7d69e06kEzI5eseUKVMcC5ILiD6JPsoJazMbQt8apy8MimWXE4vu6fj98A9SigNL3pw5cxwrcA2YCr3j3XffzXs6Wx2WOS9YsCAR6YUvL5/EIXnmx9eayWRcgjZzJUsHXy2W2EASyLlXvu7qNvsjKF7m5ti1a9fs4r/uGUk+x/Sjjz5y+ix+Zu5F7DDMxnPAV0yEWmNjo7NDkMSNXsw1KcqG9ISfE78nz2zevHnuPqwdf4m0mjp1akkMG1r808rX2qJ0rAeW+LBNyX333SfJlyTCss21WDObRWVLxZSCyLAREZ0AJTV05lQG+D1XXXVV55PDcmqzdLCs4V9Ex0GH+Oqrr5zOh48OpgVYKWEs/F6c0jDLv/71r0TuKsxis2CA1Vk5iTlhw0gnGCUsCC15PQcmOPHEEyV5hpo2bZqzEjM+WJlx8l1OfF5Hh2WOYcypHXO+LBDWkPvxHfKEV1llFVeChcgdxsIaopPRupP2G/gbv/nmG1cEHp0QqzH3I7KJewCigpjfzJkzneQAeCawcKkInw//5nnwzNDpKeTOWmNXYU++++67zrJv1w5/tLVEg2KldFuDgiLxqquumpW8YQDRix9BNpt1r1nzOBNH5EF8pO8MxqcDDjjAmfzpRsei4h7JVwtH8gdJ2CHddmC3wdXz58/PuQjB8WH5DgtbO8l2BsftwAbmMGKOd955p/uu7YDHhrXJ2daQVMoiB+4DN8eVV145K3lxzYrP2Ww20SPVriHqBJubw5dg+OOPP97NC1GbpA/SA7mWNf7Y4JwwQZ/naDvO2TW0hsNSYH88/JDtgU8xhWeffdbdn+fDoW4D98uBKBJHRHQCFGTYHj16ZCUv7vLZUES2gQachlassWFtYOHChS6sjcRfDBWY1mFvGzANK3LSnXjiiS5E0tZU5kS3qVl0r0vrG9rU1JQ4ue3cAOPkxOWa4feteGTvZz9nDRU9e/Z0Iqt1yAc1h90cSZGEAa0IHs6PMbCWlvVtNXzeb2xsdOoBqgcBIYjCrIedjw2QP+iggxLdCW2SQ1p6XTlEzjQDUShWtxelXCsybEREJ0BJgRMwGW6LfMYoq6Ohs8A6BDdY18icOXMSbgObMI3RyRqSrP7T3Nyc2i2e/9v0OvQfi5BdbPC2PYVtJX7rGmpsbEywoGUv62S3bqZQf08zauRjWAInYHLGxDObP39+Yl42QYDv8Ly5H2sdriFrx3dw39l+MmlrmM1mU58Nr9s1bEt/2FLRFpdMORAZNiKiE6CgW8fqp5z66B21tbWJbtkEV/BdmwpG8DvB7dXV1e76gGvZdCpOa5zv6Nbco6amJuEAt2GFFtY1ki+xmPExHst6NlUqDLpgjvb6ljVsAL9lzVD3tcxeSHdLW8NwbFi3WVfba8da0LExYHMIk+oBEpbV0VkzQhctm1dVVSUs2cyhUMH0YmitflsswXxpITJsREQFoaAOGxERsWwhMmxERAWhoFJAgTJ0B/QPLL7Nzc2JHqXoG+gstvu0tXBmMhn3mtU7bRMqq89Za2JdXZ3Tw+w10ZFam/xciQgtjJ19flLSD2vXPJQirS5bqm5bXV2dsKYD2zol7R4gk8mk/i6Ca0UrcUREpaOgDksUkC2BEca3pjGr9Uly6lmL3/z58xMWUhsxZFtC2nuGJxoxrLZgdlBqMjJshaMYwwafCz+T81raZ9NaeoQpemn++HwW/Xz3zGazid9Jnr+RYSMiKh0FGZYoIKJSQJjGZZnVnipWVs9X7Mx+xnZ8D/2s4TVtlsmCBQsSJ5c9SRsbGyPDVjjSGDYtHnvxd2S+Y6+Z9/18KXppyfDFEtZLiZoKdNnIsBERlY5iVmJJycTo0CpmLXJWv7QtGW2riK5duzrdlO/A6DRUouQkTBvmTobIZDKJqCRONZs4vawAy3u+EjCdkJf3TQAAEO9JREFUAUQy2faT5YRluHyW3zR9Mi0e3OqlYalUPsNeI3qP4oBpTBvqx2lsy+8lda4F342IiFimUJBh02Tw8IRBf7S+KE4fLL7kpZIniR7ar18/x8q0eeA9ys1w+oXZIeE9wpOU73JNWJlrLUmElSrC3NEQNta6klDK/EppXtxeFIv3raqqSjCatfRa2wox8qBXr15uL7OXuBZx0Wl+4HxsmsbC5CmnzqWUyv+INTYxO98ArKHokEMOkeQ7AHANktZ32GEHVwqGJGjERNLqCE7v37+/JOmFF16QlKyM2LdvXxfUgQhmy7m0trdoKeAgYTwsHPfu16+fm4sNYLeiOwdgsYUrhHIbncJu9IuvKcnPb4MNNnD1tWwiR9h1T0qm1bUF1uiEcdSqY/l+KDZ9kQOeGtP0x2GOqFJbb721nnrqKUm+VA7Xt7WwqX3FM4GsGEf37t3dutsfdSCSR6NTRESlo6BIzClDypyt3JfJZNzpC6MhDpB8Tg8RKh5yCl511VWSWsQL0uUOO+wwSdJZZ50lyZ9IMDxKvS2chdFqxowZ7uROC64oJ2yHPMue9MidMGGC6w6ANEF1QcuwNrRyaSZnMAaYNW1+r7zyiusCQIkeOkIwPxjNlrcp5/zsswzdhTA/r/EZyt5QNxl2ZO/Rg3jq1Knu+nQ5OP7443Pmwu+DmtPM2bojFy5c6K7V2ucQGTYiooJQUgJ7UF5FUq6Cbuu8rrHGGpL8aQezWnM61fv79evnSp9S75bOd1RWv/HGGyX5UqmcbPfcc48krwd8/PHHidPMunnKAatv2KARngnV7wcPHuyeC/1g6btDV4Nrrrkm51q2EJ01lnQk0uZny7xSYG3bbbd1a7PzzjtL8n13xo8fL8nPj2vQteG1116T1L752e/kCw20xiUkQ/Y0pXZtuVN6AK277rpOaqDuND2fqPHMPoW16X7xyCOPSPJ2nRkzZhQNa0xDZNiIiApCSTqs/dWHlmDKltoSmJjAkefp+Hb11VdLkl599VVJ0tixY/Xmm29K8lXW0ZlsWRd6ulDYnFOdzmOLFi1KnK5Wh2oP7PNI+/8dd9whSXruuecktXR3Q8fnlMYugNPdJinY8qAdGXgASp3fbbfdJqlFN5ekUaNGuflst912kryrY9NNN5WUnB99kmwfnXIiDKhACrOBHOxl9hQWf6r8s7fuvvtut5fp7seY2duwNTYNCs9R2ghPgVRcKkidU+EpR0RELEso6IelRGaeQtWScq2GnJToALRxwEoMW6LD0am7T58+rt/or371K0n+BNtzzz0leb/sT37yE0led+A0hHlnz56daKNg0+zKmV5n78Xz4USlF+yhhx7qrML333+/JN/tjw7ljJPOgNYf2NbOZ+2ZH2Fythg7kg39Z4488kh9//vflyTXQ4j1xbcOmB99g9s7v8XjymnVUSiVjj3La1tvvbUkOSmPfYxdhVYdAwcOdOt52WWXSZLrFI/UxHeHDh0qyff65XVYvKmpKZ/fNef/Mb0uIqIToKRC4tZ3xWlQW1ubSLzl9KUR1NixYyVJgwYNkuT7x+6zzz6SWrqGYSmlOxkNtGzjKJgM/YMmTU8//bS7B93CbTJ8UHa1bAxLxIvtGM6z4HT+7LPPXMc9W1KHOWILsKVUbQ/Y5Zdf3un4aSgXw9r52XYbzG/atGlufraRFVFqzI+9ZKU0dMzWzk8qzrD5isITlYSkA+MTP8AeQ6r7+9//rtdffz3nPZ4PFmZCFnmf/crnsCZvtNFGjtFBnsIPkWEjIiodBa3ElllBWAw7bPUoeQvZuHHjJHn9k27q6DBYQddYYw33b3SDO++8M+cz9GXlRL/kkkskeUsrpyVWyxAd0QoQYBHndESX4ZTGStilSxenB44ePVqSXMdynh9+QRgJP7XV7YqxTzmBpZf1Hzx4sCS/HnSN79q1q7OYjho1SpL3pdv5IYHRY9gmB7RlfvnKudj/2z0M+8Ga7CFiipHesOz27NnTMeivf/1rSd6SDIg7pm3qrbfeKim38L4kTZkyJSEF2GL0aYgMGxFRQSjJD2v11BC2uRM6CXI9OhqnMREwXOvhhx92Mj/NgGEoLHg33HCDJM/SnNawOp3OH3vssURkU0f6+WzDYdqPoEfDvF9++aXrKj9ixAhJ3lpM1Mzpp58uKZnWBWwhuiUBGwtLLDf+Zdb8yy+/dPHfhx9+uCTpD3/4gyTp2GOPlSQ3f/z1FuWYX6G4XOvf5P88b/5OmTJFkl8f5v7yyy+7z2yzzTaSpGeeeUaSt8dccMEFkrxl3Eqf6623nqQW1k6LdCrGtJFhIyIqCCXFElsWDXMb0QWwIKKjEBVisxLQUfDhnXTSSU4nwpK45ZZbSpIuv/xyST6zh4wXmzuKJbpbt26Jsqp8tpzZOtZ3CCtYCynZR/3793e6KzjiiCMkSWeccYYkfzqjn9sTeEkya9r8bGwxfsn+/fs7hkUntZlX6H2saUfMzzJruPZ27EQ84YFAX7efO/jgg91f/K5khBFTcN5550nyeju+aCvtEd1VU1OTWhyiGMMW/MEiAlhxMuxIFiSG59wQpX348OGS/APix4i5fPjw4e47hCY+8MADkuQShk899VRJ3lBAYDz/ZzwzZsxwCj7vYUwoJ2wCNwu51lprSZJGjhwpybunttpqK2ewIBmCAw7DFJ9lLhxG9rkuCdj5sTER9VgPihAMGjTIJTowDw5uXkfdsX1qbT2vtsAmfFjRuLa2Nqc7nuR/ILhchg0bJskHvWDg5PU99tjDjZGgENyQGDvZ0+xB9gOHAntg0aJFrTY2gSgSR0RUEEoqEWPr3YTfsf09SSnCMDRx4kRJ0rnnnivJMwopRzfccIMTKRATSEXr27evJJ9mhwkelpo2bZok76ieOXOmO90QQ2w5m3L01oEduDYuG4L+EeFxzXzyyScu3NI69zFgIE3gKkpLCywl/ay9gRO2SzsSFm4KjIAYaD766CP96Ec/kuSfMyoJBsGHHnpIkg/CKNf8JB84kWZ0CjtUMD4kAfYpaXRXXnmlJJ/QTmjtH//4R51yyikK7wMbE15KqiC1yTC8UqABzJkzJ9EHOI+BNwZORERUOkrqrQOQ+9Flpk2b5hz9tnwIuiMnCA5p9L0nn3zSfe+iiy6S5BPSSdqG0WEnm7pHqh7J0OPHj3cnu+18l1bcKo2BSindYQ1ZnLQYKpjPuuuu6xiU4JAHH3xQktdrYFpYGeZBTyo1wXnxmIsybCnzswHq2CUwNlE+Ze2119aYMWMk+cSMe++9V5IvUIbtAsML68P7bZ1fvjlal82cOXPcnrGMZvcpwS/sOcJee/Xq5QIlkKRIzieAhz1OmCaSKXW1YeQvvviiqJEpMmxERCdASb11OIU4FTk56urqnGWOE4nSjtadAxPjwsHMP2rUKJfKRAEs/o81klAvQr/QnTituddnn33mTixKleDcbi3D5oPV5fP1/ZS8/kagwT777KNDDz1UkteZCAohLQ19HR0caaJQ6RQ7HtBWHZbrpbFcuO6SDxTZe++9td9+++XMg/nBrGuuuWar52etv/nmJ/k52s/nq9qP5daWpOUvKYXsRfT2kSNHOvYl3NZ6PNinvM/6cy/sPHPnznXzRVrFDZo2RxAZNiKiglDQDwtTYAW16UrLLbecC3awJxgnKacLYYWw40knnSSpxQLJaXz99ddL8il43J9TmJQk9D70H+7Vs2dPd8rCrLaQeHuQr+O75CUPSoUwfnTrRYsWufRC9PUXX3wxZ442eQIUkoDK7Zu187NlZJFweP6bbbaZG8eQIUMkSRdffLEkH77YnvlZZi027jxM7N7nPcaDxMf+YFyU7EF6QF9vaGhwexbWhRXRlZkjiQ0EWPD7CftPIa1wjbS+tIm5Fnw3IiJimUJBhrVtFqxl65///Kf69esnybPfXnvtJcmzHycXOgy+U9KW9t9/fyfHc4JjTdt3330lSffdd58kb0nl9LPjamxsdKeZDa9rTQkSC1vQDR3Fpu6h65PwQBjm2Wef7XRVngtzQw9H8iACCsvjkkBr54cejk915MiRzu6AdEF5HxgE3yTXsEzbHqQVMIOtGhoaHKMSeWULKvBdkhPYr1h8jznmGGclR4pDmkS3xVJOVBd73Y6vuro6kVZYKMEmRGTYiIgKQkl+WOR+9ABOyZVXXjkRxUFsJnGmsAxsePPNN0vyutzZZ5/tXkOXvemmmyR5q1t4UkreN8a90KmuuOIKl67GZ/G/BWU2W2UlDgPHw9ckf9La50NpTFLL7rnnHhcYzslOupltHkVUEeO3/tJtt93WReGkoTVW4kLzY2w2KomIHhIYHnroIae7Uub0tNNOk+SfDfdAAkLvt/MbNGiQK9dSyvzCOaYVQO/evXuiRYhtXGX9wPiRL7zwQkktujnlXZGWWFMs48yJ2GGkSJ4BYzjllFP029/+Nu9YA4kwWokjIiodBRm2pqYmK+UWXZM8k/Tq1cudWOheZNJgNeSkopQpzaCI9LnkkktcGwdSsrC+ch98fEQJoTuh5/G5bDab1wcneX3MFrdqS6wt16bcDfonOg5xqe+8846kFlYkhhqdn/EwXnRArMftacnR3lhi5oeUhP5p58frgwcPdqVmifOGTZgfkgWZLeWan5Qe6RQ2TbN7GDsJmTdE3lGiFCs3eukpp5yiRx99VJLPKgOsJXH0NARDmrDpidlsNqHXhmWX8s0RRIaNiKggtEqHxbIVWkHJ1rEWRCy+nD6wJlY6TuLq6mpdd911knxGD/GzXBum4v5YWsmG4P/hXDhJuT9WwhkzZrSbYTkNrd5h/YFIHbW1ta4oHVEx6N1cC/2nHM2u2suwpc6PNa+pqXFlcYijZp2thBOMsbXDCr9bUIe1GUMLFy50/wbsLfYybMg+RYqjrEtVVZXTYc855xxJPvOM+06fPj3n/vhheU7cI0RacX5ra3Gfz/diRETEsomCfti0WE4sv71793YWMaJ6KLWB/oOuSjQIJVGIkvn4449druTqq68uyVvXyHPlHrA3pxE6LEw2e/bshD+LOXDatQc2Eog58Ty4J75o9PbJkye7NiS2nEy+HOOlBTs/WAifKWPEx8r8Jk2a5OaHFMRn7f87AmmZR9y7S5cuzsKNf9UWRsPyzn7B20CM/Pvvv+/K7+J5gDFZQytN2nEg9YU+WKvLFovuKigS9+7dOyv5H4wNTczXd5PgaTYmFRARPdgEdAa48sor3QT5wbJBCJCwdZn4azdDVVVVQnyzaK1bpxRYERKQSjhhwoScciWLxyGpY0q/lKvyf3ANScn5ETDw0ksvLbX5Sb4HVKEewDaowoassj/Zv+wf9undd9/t5o96BaEg/heq37143EXnFgT8RJE4IqLSUVJvHUQA26UtpG8rgloDAOIjbB2ecNaoxTUQMWzHMdufJUxV4rTjO7ZrfEcw7LKGcjPssoa0EjE23TBfUny+fjsh7F7M15fHlvmxfZDs5+xvLKw2WqAnb2TYiIhKR6tKxABOoaampsQpYoMrYDreR89AV1iwYIE7ofiu1VWt49mmbIX6SVrfzSBBIDJshaNY4ETwuvtr92la5X2QL1ioGDun1RrOl3iSlqgQGTYiohOhIMNyctk0tvC0sgWhi50ypC/hmM5kMgn917JzMJ6ce9lrV1VVOba24Y2gHGVOl3X8pzNsPjdPmosy7TtWlw1Z2v4OrESYprsW6k1lfzcxNDEiohOgIMNGREQsW4gMGxFRQYg/2IiICkL8wUZEVBDiDzYiooIQf7ARERWE+IONiKgg/D8ZYYfIwtQOwAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 0.09785, G:0.3451\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 0.1426, G:0.4112\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 0.0918, G:0.294\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 0.1349, G:0.3082\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 0.2587, G:0.09233\n"
     ]
    },
    {
     "data": {
      "image/png": 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A87LJZpo5cyYAZ555ZsZxXbt2BWD58uUAbNiwoVAzU0QxOmv2cPPNN2e089VXXwUavIay7XbeeWfA85rrf9mHYVCqwsor7M6Cnn32WcCLwioFfVbRUeUQRR+6M4F169YBXmzAVlttlYo+mzhxYs7P6nvT31ze4SLak1NhQwv+VwZ3TYEVRuhOKdxgiFWrVjF48GAAXnrppZzn1o9Z0+7vfe97ANx6661A5g/JbzFbxDEldr/T+vp63+1YhaabpTjWyg2c0DVPOOEEwHOmKaijnO1hYvvttwe8wAQtbwUhygdWIYPFmCiF+rDQb9KnPTYlNoykE3oOEi1HSGGzLvg/pVmzZg3Q4ITQ4vS9994LwBlnnJHxGSmrlHb8+PFA7ilalBkXC6GRVFOmVq1aAXDwwQfz/PPPA3DQQQcBwQP341yy0nLOmDFjAM+BGGSLX6EwvauuugqAkSNHArBixYqQWh0Oav/ee+8NeI7Pt99+G4CePXv6znb0+/T7fsL8TZrCGkaCCD1rolK8tG7dGghWlUyL6FpUF7NnzwagV69egLe8o5F/v/32Azz7J8i1KmHD5iLK7WZhZ01U1QUFFWgbmfolF1IVKVehzd/FEGcfyl7P59iUc0n3GNL1zYY1jKQTusJKWRWepXBCjdIjRowAMpdA3BqhfovX7qitzyn4QGGS+YgzcCLXdxt3CpVS7m+HHXYAvO+1FLTpo2XLlmoHADNmzABg//33B2DIkCGAl5QgiLe40n0o3NDNkK9rCmsYSSfyzP89e/YEPLtTI2+u68qDeP3112cc6y5Ia0QrxYNaidDEli1bpu4lCQobJu4WvTCoRB/W1dWlfneVSDQnTGENI0FEXgtC61hBuPbaawFvXUvrssJPWbUlTWFk1UKYqT+rbSthIdROhWcKv/uIM01qvna46H1tUq80prCGkSCqqtrSBx98kPG/lFb4jYaVVlZ3tJa9muuYUkmKsrooUZuoljSoxX6f/fr1o0ePHhG1JjimsIaRIKqqPqySZs+ZMweIRlXC9DC6m/fTrqFzAw1RMmHscAlKJb3E7r1rdWCnnXYK8xqRe4ndTfxNmjSJdRZgXmLDqAGqyobVBnZFMO21115AdkKyaknkJWVVhNYuu+wCwCmnnAJ4tmyc6lppgnpftR+2WnbtaOfXk08+CXhr/n47yCqFKaxhJIiqsmFl7yje+I033gC8lDCTJ08G4LLLLgO8VKrFEKb9061bNwDmz58PwFdffQVk74usgAe04jasi7KKqA/V15VOBu/OCKrIi53zglU1JZZjQuljNB3RFHP69OmAV+Ol0uhBFeeccw6QXcmvMaGp5LJlywDPHNCmEFHKgxoFekCVdkjZHKslUMLFpsSGkSCqYkp81FFHAd4iu2rLatSTsvotoxRDmNMpJeoqtdZnVFRiSuwGxssRp9fVp2EQZh9qY7p+W5oJKIVRpbBlHcOoAWJXWKUISU+n4SbwOvHEEwEv2VopaSL9qJbM/1EStcLmCtQPY9N7EddvVH2YjimsYSSIqrBh5fU9++yzI79WYxud47q/OLf/NbY+TMcU1jASRF6FNQyjujCFNYwEkTfSqTHYBrV+j9V+fyrhob9BaGx9mI4prGEkiKrwEsdJYxuda/3+oHHcozCFNYwEYQ+sYSQIe2ANI0FU1QPbs2fPVGmPdNq1a0e7du0q0KLwOe200zjttNOyXh86dChDhw6tQIuMYmnWrFnOtD8tWrSgRYsWkV67qh5YwzDykwgvsRunqsJKKrRUDEnxMDZv3hzw0s4Ug3mJk4+flzgRD2zbtm0BWL16dc73lVpGeYLyUW2dHXTrYDEVzO2BrQyqT9yqVauc7xdTyc+WdQyjBqhYErYBAwYAMGrUKPbZZ5+cx9xwww0AdOrUCYDjjjsO8KbIJ598MgBjx46NtK2lopQ35557ru8xysurRHNPPfUU4N2jnBtKZVKtFDMDSBK5ZkC6V/WJ+kqJ29wN/kp1FEaNXFNYw0gQFbdhv/nmm1Ra0379+gEwbdo0XR/IHrGkOvr/nnvuARoUt5BNWAn7Z+PGjanRVW3+4x//CMDll1+udmW8r3Sh+m6UHGzFihUFN4uXasP++c9/BuD8888HPEWQD2H27NmAlw7m3XffBeCCCy5g6tSpgNcXattZZ50V9PKBqZQNq3ty0xz5/U5dlGzwscceK6oP0zGFNYwEEZnCFhpB1q1bB0Dnzp359NNPMz4jVL29V69epTYjizBH52HDhgFwyy235Hz/ww8/BBqSZm+99daA50k87LDDAHjvvfcAWL58eanNyKJUhVWdXVW0dxXD/f+ZZ54BvLo06ce4uH1bTkqZOBV2+PDhAIwcObJgjaT169cD8PrrrwNwwAEHlHxdU1jDqAFit2FVd1O2Zjqu/alRWHbcSSedBJRXCiOO0VnKml4TVfck29RVKymwvh+pXCmUqrBuqlK1Ufczd+5cAA4//PCMNnfp0iVVB0n3c/XVVwPexnTd98aNG4u+H5c4+jDfcyHvsJ/iun1d4vVNYQ0j6cSmsLJZZSel2zTuOpZsAf0NI4G4iHJ0VjvV7vQqdq4Np2gYfS9+96jPaXYRZM05rEgnN8JM6l+OcggVw5J6F0OUfajf55IlSwDvOwCvZIy85eedd57ao3ZknCtMO12YwhpGgohcYeUxUzX1vI0psgbnFltsAXiKFoQoRudiRtBC9+iOyulrd0W0pyiFXblyJeCpvr5Xd90xn5e0ULx3mETRh/KfaBYhVHgt32xJ9vrvfvc7AB5//HEABg0aBECbNm0Ar5RlEExhDaMGiFxhX3zxRQD69u2b8Xp6tIh2MWiUk40UZhEsEebovNtuuwHwzjvv5Hz/Jz/5CQBPPvkkU6ZMAby1Za3vRZHIvVQbdrvttgM8NVm0aJHOEWr7yiXOCuyff/450BBp5rceXSjCqRRMYQ2jBog80knqmMsWcJHHVOt7hVA6ji+++CJwu8IcnVu2bAnA2rVrgfxeVK0/HnvssQBMmjQp0DWee+45APr37x+4XaUq7MMPPwzAMcccA3jRWE8//XTga8dBGH2o36GbIEB959qya9asoXv37oDX74sXLwY8r/Ghhx4KwKpVq9QutbfY5lVuA3s5Uz6/KYa+VE2li5mKVNrp5OK2XQHl2hxw8cUX5zyuQHtsA3vx58z5ugRn06ZNqSwgr732GkAq/5hfoISWKbWFMr0mcoD22JTYMJJObAqrUShXSOIDDzwAeJu4xamnngrA/fffX24z0tsT2egsxddIm66KCxYsAKBbt24Zn/Vz+ZfjcDOFDY6mxJoiy7zStDef2aXlm4EDB2a8rn53t+EVgymsYdQAoSusn9EuXBf4hg0bCm5bcl3uuVQ6KGGMzkOGDAHg73//e8brGknlYEtfjNdmcL/vW0sonTt3VruKbVaKSiisG+BR6HdQDmH04ciRIwG45pprAM8pqHZ37NgR8EIUc6HP+KV+CasP0zGFNYwEEZkNO3PmTAD23XffnO/nW2zWe649IRtRSiYFKyY/cZj2jwLxf/vb3wLZo3G+e5RtqnvTdjq9fuuttwKeHe8m+MpHuQpbSkI1qY22QopqD35xfStue/N9F25fuN+BKaxhNHJCU1iFIB544IEZr2tkUjoRpTcNgqtQGrnK2QRdzugsT2/Xrl1ztvOFF14A4KCDDgrcHjfNyvjx4wEvhat5ibMppw8VIqqwUfWdZoQ/+9nPAFi2bJnvOTT7UbI6oXVapTXVOUvBFNYwaoDQbVidb+eddwa8Dcr57KFdd90VgPfffz/jHDNmzAA81ZZN64Y35lvjzdG+su0ftU+JzZVaRWlC086dOt5NcCbvqRRVtqy8ra79U0yAeSUU1g3LdO+3EFIr9zvMRZh9KBu1mFmb3zOjkFqF2Pp9rtg+TMcU1jASRFkK27x5c9/qagog/8c//gF4m6O1XUlbuT755BP69OkDkKqbevbZZwNw5JFHAt5offfddwOeGpVCmB7Go48+GoCJEycCnidXm7hzjd5as9Nr7lqeRt+krcO6hJlOxqXYPuzZs2dqW6OLWwnx0ksvBbzN6Om/Nb9nRfZuetK9cjGFNYwaIHQbtnfv3kDDpm2A9u3b61xAdrRS+vXdtrjrsKWkhHEJQ2GlpLq3559/HoDtt98eIFXcS7s6nOvnPKf7/Vx22WUAjB49utjmVVRhK7G5u5R71O9PKYz22GMPnQvIHQes/lUaWBU5u+OOO4q9fEFMYQ2jBgi93OSsWbMA2HbbbTNezzfSuqUulLxKpRdFOcoaJmvWrMn4q5E3X7pLrfu5KJIp/dgkIltV6/FRpL4JE60s7Lnnnhmv33jjjUDuHTba1yqiUNZCmMIaRoKILJbYz45zr9e0adOsWOAoVSZML7HWg7U7R6iUg0bpVq1apYpgiXHjxgFeRFOYVIMN6xKmTRtHqQ5F1amY+Pz581PvyRu8dOnSsC+bws+GjawCey6HC+TuqKROA90HVeTaLpjUewzCo48+yq9//WsA5s2bB0CPHj2A7NBK1cOtdrTclv6giigf1ELYlNgwEkTFK7DHTZy1RStFXFPi9GU2BYtoyUsbILQhIkwaWx+mYwprGAnCFLbG77HW7w8axz0KU1jDSBD2wBpGgrAH1jASRF4b1jCM6sIU1jASRN5Ip8bgfav1e6z2+3v55ZcB2G+//QJ/prH1YTqmsIaRIGwdtsbvsdbvDxrHPQpTWMNIEPbAVgktWrRIlTY0DD/sgTWMBFEVNqy7uTlKKmX/KBXJD3/4QyBYwuxSMRs2WpSw7c0334zsGmbDGkYNUBUKGyeVHp2jLHQsTGGTT+wpYgwYNWoUAFdeeWXqtSgfVCN84jTXgmBTYsNIEBVX2M022yyV8ErJrcKsUVJJlMBr06ZNWSF4SuCmmqJJpm/fvkyfPh3w6iMpp/RHH30EQLdu3QD44IMPgIaaSuBlnlTlt2ojSH3eXHmoIRpVNoU1jAQRmtPJL0dvEKKov5LnWiU7LKSGfhX7XB5//HEAJk+enKq8F/c9humQUdtLqQpfiPfeew+A3XbbreCxcTqdcj0ffn1YTJ3iANe1ZR3DSDqRLeu0adMGgM8++yzn+7nUSiOURrA46m6Wc4/K2j927NiM15XxX7Vw0+1UVfdT1TTVvvWr2l0KxSqsn83lV4kux/WKnjkoRaqqJBRDmH04efJkAAYPHpzxuqpRaBku/f7c6vJDhgwB4MEHHyy1GVmYwhpGDRCZwqqWjCqv9+zZE4C33noLgKuvvhpoWKN0q467I/uCBQsA6Nq1a6nNSRHm6Ny5c2cAFi9eDMC9994LwOmnnw54o/TUqVNZsmQJQKqkRZR2e1g27LXXXgvAiBEjAn+mVA9pMd9DlDZsvlnE/fffD3j96/ZhOX6cHNczhTWMpBNbaKLUpmnThqXfI444AoAnnnjC9zOyb8Ncq4xjdNaIu2jRIgC6dOkS1iWCtiMUhdW6eMeOHTNev+666wAYPnx46jU/hQyqtCogpsrn+YiiD//whz8AXrEu/U71u+3fvz/Tpk3L+dko1l1NYQ2jBihbYeUNVozs2rVrAU8VZbvOnDnTPTfQ4GnTOdzR1R3lwiCK0dmtByvkYayvr095upcvX17u5QpSrMKOHz8e8LydWkcspBjpqqrN91988YXblpyfPfPMMwG45557ss5ViCj60K+d6dF3itracccd857LVdx+/foB+Cq0T3tMYQ0j6YRuw2p0UXywPGtnnHFGxvu5+P3vfw9465oqDiylDYMwR2fdo9s+qY3W6dKRCgex1UqlXBtWXm9VH5dqtmzZMvA5pNo///nPc75fLRXY83mFwZttrF+/PrV2rOrsLvo9hIEprGHUAKErrKJAXFtGI5VGp1wKc9NNNwFw8cUXZ7yutdyVK1cCXpTMDjvsAMDHH38cuH1hjM5+MbWnnnoq4KnoLrvsAsAll1ySOuaOO+4A4Jxzzsn4bP/+/QH417/+BXhe01LiU0tV2EI264EHHgjAuHHjAG8duphz+q21F0McCutSV1eXmnFoF5artBMmTADg2GOPzXi/lHv1U9jIlnWeeeYZAA4++GC/cwMNDhn9wN3N3e4Nyrmj6t4zZszIeVw+wsFzyxYAAATHSURBVOzsE088EfB+wC7awH7JJZew9957A16Qe9r13fYB3oCn6XWp91jO/c2dOxeAiy66CPCW4G677TYAzjvvvHxtAODf//43AMcccwwAHTp0AOD9998H/J1V+QizDw877DCgIbilVKLuw3RsSmwYCSIyhVV4lqavLlLLZs2aZW3m1hard955B/Cy1M2ZMwcozU0uwhydZ8+endE+l/TprJTmRz/6Uc5jtIFbo/LRRx8NwMSJE4tuV6kK265dO8Cb+urabtBLPtwNHC5hhGKG2Yfdu3cHvNlEEPwU1X09zN+pMIU1jAQRWYoYBUJLJZUixF3WaNasWUpZ5Zy59NJLgWwHhbvdTovuN998MwDvvvtuVLeTgdKg7L///oC30cF1QigtzA9+8IOUsrobBuRMkv2u/+WwkrrpfTmjomDVqlUAPPTQQwDccsstQLAtcH4zNYU1FuMYjAMtHWpjSRDatm0LZP+G/UIT5RQ94YQTAOjVqxcAV1xxRanNNoU1jCQRmQ2r80o1+/btC3hLNhrZctk0Usxhw4ZlHKNzKov+a6+9BsABBxwAZIc/+rQrsiUB2Z+yixTKluseNUq3bt0a8JKS+fXHq6++CkCfPn2CtKssL7ESpe28886Bju/du3eqfX6EuY0wyj5UvygIIt+SzOrVq4GGGRR4drA+425ekQ8gSKpbs2ENowaIfHudPI0vvfQSADfeeGPgz7qjm/7KoyrbsRjiCBwvcr0N8GYJ+p7c0Lgi21OSwpaTRMxNqSL7TmpS7Vskw+hDdyao36dmUUW2xxTWMJJO5InEtZ5YDBqhbr/99ozXFRLmpoqJM00qeGlu5PWTishG0UYHpYxJb5vaqr9Spj/96U8Z13BVLo57dLfVFXMtKauQLVhKkrU48FPFfLMLvz50zylcZQ2jD01hDSNBVFX1Or+NAX5J2kohyhQxUlhFd+WKj9WM49FHH3XbpfZk/C2FSlSv8+uTqJPM/e8aod+jlDZX0nR50RVb4EeYWwhT7Sr5jIZhxE7Fi2Gl8/TTTwPe6KatZuKnP/0pAI888ki8DQuI7NF8O09cZRVB07JUK1o7v/DCCzNeV/EvRX0lhXzlSPyUVVFostujSM5mCmsYCaKqbNhtttkG8Ha0KNokTEWNs5CSz/Uz/teG/6AFtgJeI9JiWLm8o+qrhQsXAl4stNLKFLPftRDV1ofa29ujR48wr2E2rGEknaqyYRWbqVQwitEUca+3holr9/hlqVDxMKV+rST77rsv4MVoa3eSorHEpEmTUsWkpKxr1qwBYNCgQYBXKErrtUHiaasBrVxs3LjRd93VVdYoCzpX1ZS4EMoHW05u30pPp+IgrCmxvmd97+3btwdg1qxZgLd1Lj3YQD9WbYFUXl8RRq7pxtaH6diU2DASRFUpbBSZ/l0a2+gc5v1pGqvAFgWINGvWLCsEUcs4AwYMALxauWHQ2PowHVNYw0gQsTudRo8eDeSuORqlshrlI4fRihUrAC8NECTTEZhETGENI0FUhQ3717/+FfAqW0dJpeyf119/HSCVUDxKKhH8HyeV6sPevXsDnpc8SsyGNYwaIK/CGoZRXZjCGkaCsAfWMBKEPbCGkSDsgTWMBGEPrGEkCHtgDSNB/D8VS1czyG3jiQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 0.2298, G:0.2237\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2000, D: 0.2302, G:0.1737\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2250, D: 0.2489, G:0.2009\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2500, D: 0.2182, G:0.1661\n"
     ]
    },
    {
     "data": {
      "image/png": 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qy8kKK6wAuJWCFNb3aK+xxhoArLPOOmXsXf5EUXA6TkxhDaOKqJgNKzvvrrvuCooaK8Wk7DqVvFDi7unTp5fcbr72j9KNZmvTT8sa9lmeddZZQVFopY9RSZPrrrsOgKuvvlr9AVwWg0x7krliiCthww4bNgxwaVv9FKBS/ygUbF62Ycv2hfXz4SRn/FPQvILohd6j7HRaPpbYj4w3Ox9HUd++fQF47733Ul5XTltlvVc19VNOOQVorYCnB1jtPPbYYwAMGjQIcDmPlbXv119/TWlDX2hNbvmOsZB7WOyW1owZM4Lsg0KTr2rKirAvbCFtx/mF3XnnnQFX1UDMN998wQSpmkp+5v8oMaeTYdQAsSmsMgluttlmADz11FNAcfmIVY9Gy9RSKHR2nj17dnCIPOlvADemnXbaKeX3qgig6nW9evXi3nvvBWCVVVYBXCZ8Kc7aa68NOKdTWCXzfChEYefMmZNWQzcXUlNVNgDYYIMNABcwoQp/Whn4tX1LIQ6F1SrpyCOPBOD4448HYJllllEbQQVBVTe4+eabU/6rLasoMIU1jBogcoWVgowfPx5Irb8CBHVSP/zwQ6DVTpX9JrvHpxwK62fvF127duWrr77K69pyrEiRpZINDQ2BbSoHmrZ1ZPfKLoqCctfWGTlyZKCwyVtZEI+9F4XC9uvXD4B3330377/ZY489ABdWKhVWZXqNPYrc06awhlEDRB44IeUUG2+8MeBsNVWxS3bzy36bPHkyAN27d0+5hpRqxRVXBNxs7W8dlIK/RTJgwAAAXnnllbyvoRn10ksvBZxaNzY2BoERqmIu206fg/6rurDaHjnggAMKHEl+5KqAlw2tIBQwstFGGwW/k7KKOD2pucjmeZayqtaOagCH0bt378CG1YrvwQcfBGDKlCmA8/RHWdXBxxTWMKqIyGzYMBsw7PXksL4rr7wScOGL8kKqlqzCGaOoeJdrH1bH377++uuCry1vq+ronHrqqUCrespretdddwFO2aTsUvRXX30VcHVVValdY19wwQUZPHgwAFdccUXOMcZhwyq8cMyYMcFrUVWnq6urS7MVfUqxYcNUN+w5zYRKsEhJVd84Tk+4MIU1jCqi7KGJmuFU2a2xsTGI6pGtqtqcsi+0r6momVIOl8exhydlVSjl8ssvr2sD8PTTTwehiRqr7EDN6JqlFfSvCuZnnHFGyvtmz57N9ddfD7iwST/KKC6FDfvcJ0yYwEorrVTUtVRTdbvttgNa90F1ID9sRVWp0EQdcFBtWXmF9XouO7gQTGENowYoe6kOzZryMLZv3z7Yo1UaFZVnlC0oe67SKVk106s/UjjZ4EqTohl49OjRAAwcODDtmJnGInXWNT/44IOUaylySKuOurq64PPylTUq5OlVBXnZavKOajUgClFX7UP7+/F77bUXAEOHDg0UNsqq7VEwadIkoHXFBLDNNtsAsNxyywHRKmwYprCGUUVU/HjdW2+9FdimituUt019i/Jgdpz2z8SJEwG3j+yPIxkdaP/oo48Ap1qLLroo4GZr2bpTp04FYNy4cUGUTljkV1Q2rNR/9913B+Duu+9O+b2fsjUZ2eLygifvSSf/rH3nt99+O+1a2rv3qZQNq7GE9SvKFYHZsIZRA1Q8CVvHjh0Dm0+eY6mMDnlfcsklkbWX7+ycLUpG5111akO2nSJeunTpAri0L8lRVLJ7fXWUnag9SJ380Gej97dr1y6wndTOZZddFjrGYu7hLrvsAsCTTz4JhBeX3mSTTQB4+eWXg9cUd921a1e/T0BrxBC4c71HH310yu979erFqFGjALdX75+djVNhs913/zU/gUGUVPwAu4+cKD///HPaUkJ5j7RcirI6Wyk32w+FPO644wA3oWiJqAdczoizzz47+FsFU+hLvs8++wCw9957A/D3v/8dcMtpOeD2339/oDWYoFu3boD78vuhcKV+YdX2l19+CbiJ1Ef37f777+f0008HXDZIoc9CoZBhJC+Z1X5Y2GScX1g53Pbdd1/AhdJm+p7ooIvMmiidorYkNowaoOJL4kQiESiEFErbO6+//noc7ZU8OytVjZbuUg/9V8qjzPwdOnTgoYceSvlbLR0VZHHyyScDLnWMtjt22203ADbddFMATj/99ECNkg+Qh42xmPHpfmhl468spLwKGGhpaeGggw4C4NZbb1Uf1D7gwhllTiyyyCIp19RY/MMDmYhTYeVQ0paWf0+TOf/884HWFVTUmMIaRg1Q9sAJheYlb/pLWbW1odmtraDEXNowV+5d2XbaepHNpcPcCpzYeuutg+B+OZXWXHNNwKmYjtFddNFFALz55puA+5yU+O33339n5ZVXBgo7fJ2NRx99FHCpbsaNGwfAaqutlvK+XXfdFYCHH34YSFVRKascML4ijRgxAkhXVq04Pv300+A1P3CjnGh1IV+CEgQmE5ZzuRyYwhpGFVE2G1YpQpWMTKlLAZqbmwG3FaDjS/IWylaKM82pT7J7X4EdUkHVv9EsHIZSiFxxxRVBsIMSt+lgw5Zbbgm4tJoas5RXx/00m8+YMSPImp9p9vfHmM89lJ2mNDYPPPAAkF73Rkf9ZLurr9999x3Dhw8H3EpA3lWtEMLUUjZjsqdb22F6DrKND+L1tcjLXV9fH3we8ifo/vpji6ICotmwhlEDxK6wmm3kBfRThj777LOBZ/Taa68F3MytLPmynaJICZNrdvbt6BVWWCEIXtAYtGEuVVEy8KQ2AJcNf8SIEbz00kuAC9nTUUK9rkReWoGoDdlz2pOeMGFCsDcbFoRRiMLuueeeQZtSe6VCeeKJJwDYfvvts12CmTNnpiVTV/CDEgEoCMJPqerbuk1NTcGxtbZwvE7P3EILLRR87n5NJaEAFnn8S8EU1jBqgNgVVnapwvY0S8kOampqCvYV5WEMC66Oglyzs5+iMlkRNNtKgbRfnEEBALcnOXPmzEBRdSBdf6OIJ608NHbVF1IaFnlXM6Uw8W2mQhS2Xbt2gXfbD8x/8cUXAReCmI1C0/fofZmSkufRVuyhiX5JmaampuDIo7zqCg1VsoEoMYU1jBogdoXVvqtmbymJXu/QoUPghdVrmt1kK8h7qVm4FC9cvrOzDpRrRQBO/RRD+t///hdwHnA/Ykvxv2PGjOGII44AXMTP+uuvD7hjdPJGyiusz0sKn6SeabN/tjEWcw991VPbir7S+AtBKUHlYdeRPfkvCqESx+saGhqCFZPu65AhQwA499xz1Q/1r+T2TGENowaIXWEzpcRMZvbs2WnVxrXPqP0unWTxI2+KoZTZWQqrfUvZ3EqArpMq2kPVamL//fcPkm3rvUpQrtWDnypTNmtyKh3IfNStFBs2HzRepatR4vdk1Lb6LZtdKxStoqI45F1OhVW/m5ubg7Ep0s1H973Q4mKZMIU1jBog9lhiRQP5Maay89q1axfYrrIFFcGj/U9FRYUVVC4XGoMfQ6rUNkIrBnmAZ82aFRR3lt2pyCeVd/CvKWXV5xV2iByc8uuMcdTIi6yVj+6LItDatWsXxD77ZTLlC4iCfE7yRE2ymvrKqr162fw6vRMnprCGUUVEZsNq3e5nh1CUjGJlM+2x6myoFEKZGkopahxGOewfKZEKgV1++eWBsmr8UaQVCdszLFe5yUpRqSRs8txrxSEvuu6lUrjqtJNSuRZDxVLEaHNZIWpqT4MfMmRIsOUhAz9OynGzo3TvZ7p2ruvaFzYelEtL4aQKoRT5VsLLB3M6GUYNUPEUMeWmUrNzvihkM6wafT6YwsaLVofa5pk2bVrK77ViVA2kYjCFNYwawBTWG2Oc9mcxZAqRzNVHU9jqxxTWMGoAU9gIxjhy5EiAIPywGBRQrwB7n0yqGrZFFLXCKiDgrLPOKvVSoWQLvfQxhTUMoyrIqrCGYbQtTGENo4rIGvwfZhu8//77gDs6V03Ma/ZPMdX5clGIvRkH89o9TMYU1jCqCPMS1/gYyx0Yr+fJPwSSr6LX19cHhxiULkfV58W8dg+TMYU1jCqiTStspiifUpnXZuc4xqcD+tmKQV1xxRVA69FCgG233RYgOMivI5S5Cj1nYl67h8mYwhpGFVE2hfVTgGZCB9iVmCypH0A86SNrfXYuZXz++c6w+9CuXbsg+Xhy6h+A+++/H3AKq7Smu+yyS9ZrZvpdnz59AJgwYUJs99BPpl4pTGENowYouw2baUbVyX0ls1KZiqOOOgqAY445JrL2TWFz46ciVcyy7/kVffv25YMPPgBIS4Wjn6NIiSMqdQ/9Mi5xEqawkWdNVCY5P8Od8hKr8rhoaWlh6623BtxN/fLLLwHo3r171N2rWgqtXeOTj1mhZawmTuXU0hc1LAXKRx99FFxfS19VvsuX5KVoJY84huUm22uvvZgwYQLgnmUFjuhZj3JSCsOWxIZRTSQSidB/QKLUf42NjYnGxsbQ31922WUJMX369MT06dMTs2fPTsyePbvktjP9i2OMYf/69euX6NevX6KxsTHR0NCQaGhoSDQ1NSWampryvsaMGTMSM2bMSHTu3DnRuXPngseY671//vln6O/at2+faN++fdrrffr0SfTp0yf4ua6uLnH55ZcnLr/88sTcuXMTc+fOTTQ3Nyeam5sTPXr0SPTo0aNq76H+LbLIIgkfjTGO9sK+k6awhlFFxJb5X06HXO7xs846i+eeew5wdVd9O7daeffddwFIJBJpld2FtipUzeCpp54CYODAgYDLdatcx2PHjg0StEVh4ymQP5lc1QaU+X+fffYB4I477kizrTXezTbbDIAvvvgCKI/DJg622mqrtNfKYbP6mMIaRhURm8LmO/sstdRSgbKKKOuxxEmYR1HK98ILLwCtiqX0pb7Cfvzxx4DzzPrX8GvmNjU1RaKsChH817/+lan6XUqbfntaPak+brK66r5fd911gEv1edNNN6Vco60EKOTLhAkT0j4XVWQvJ6awhlFFtIngf78PqvrWuXPnONqKbdPdrxAv5f3999/zLkOiUD5VKE/qJwDvvPMOa621VtZrZAucCFsVFIKukayOup7Ut2vXroCrNN+tWzcAhg4dmvPaClBQDRufSgVO+M+pSnaojnHEbVloomFUO7HXhw1Dgf6ZKtTFoaxxsttuuwGkVZJXRJAKguXDrrvumvKzf/wsl7rmohRllcr7x+paWlqCerdSR9W3VRqhM844A8ivep+UNSw6rpzoEL2KuSWz9957l7s7prCGUU1U3IbNdqwqpvYit3/CPsNCxuFfw/9bVXn/5ptv8rlWmg2bLT5XKh5mM2qvWB5tqbQ8wCeccEKot7epqQlIL83o96eQ+OFy2rDq19SpU4NYarHyyisDrbHUUWM2rGHUABWzYasRnR7S4ethw4al/P7WW28F4KCDDgKcLb755pvz8MMPZ7ymryi+4qy44ooATJkypaS+Z1MuX1nl0f7xxx8Bp6x77rknAK+++ioAp59+OtDqLfb3VVV6RHaoIp8UPeX3RxFXf/75J3fddVdKe5VE/fTVFVy5yXJiCmsYVUTFbdgVVlghiE1Naje29kqxf+QBladTdpniY7U/mQmNSUri23RCr/se5+nTpwP5edBLPcDuJ78bMGAA4OKddf7z6quvBlL3jEeNGgXAoEGDAOddVapSKVXv3r0BaG5uBlwE2KxZs4LPKizuuBL7sIssskhake1yPqei4kti/8valvEfIH2Bs+WpEloijhs3Luv7ttlmG6D1wDTAPffcA2T+okYRBJGMlsI///wz0DqZgqvKp1BLTVj6Uv74449B0gFtwSjYX+/VdpRef+SRRwCXv0vZFS+55BIuvfTSlN9VIsje5/vvv690FwBbEhtGVVHxJXE1buso19S1117rXxuAo48+GoBrrrkm72v6Y5ZqPv300wDssMMOeV+r2CWxVgqjR48GnMNo3333BZyiSzXF888/HwR8qN8K09xvv/0AuPnmmwF49NFHAYK0QMcffzwAt912W9AHfY5taUlc6edUmMIaRhVRMYXN5FjQa35m+VITkCUT5+wshVp44YUBUpwUGsPEiRMBlxkyqR9RdaNghd1yyy0Btx0lp9Lf//53wIWRyoGk+9KzZ0+g1Q+hQPiDDz445T36Wba4PgcdCEw/PP8AAA7DSURBVNffrb766kCrY0ufo2xXP1thpRVWK4zkA/wxtGcKaxjVTsW8xNlShfjB5YWojz8bP/TQQ4BLuRInatN3/++xxx7Ba1LWzTffHHBBCJVk5MiRgLMzFU6oYAihQHhx7rnnAjBkyJAgdFL3SsElyintb0vJNtfBiKWWWgogObFaQCXTymTaftOhDjvAbhhGViruJW5paQnC1fxgAXHggQcCzpNYCoXaP3V1dTkD0lWpTR5Psf/++wOtNo/SqSRfNy6y2bB333034I6GDRo0iPvuuw9w/VfIpQ6bn3jiiYBTOq0KtttuO6B1b1Xqq8CQ119/HYBVV10VcGF8ft0kqbnCI+vq6oJ25FHeaaedQseXaYxxMGPGjOD51JFBVTuIA7NhDaMGaBMKe/vttwMuuidT6s2oKMfsnCmFipCtNm3atKibDSg1NHGhhRYCXFSSvN5CfddY+vTpEySLU8ST9mGV7kfXkErJ03rZZZel/HzCCSfktFkrobAtLS1pqyLbhzUMIysVU9jkvTY/4D3XgepSKOfsXO7omKR2cyqs9lr9tKvJ6D7I7jz55JMB51X+8MMPgVb1UbI1jU/J4WXbqpCUvMQ6OCB7uZAVR6X3YbUClA0fdnSyxPZMYQ2j2qmYwqrd5JlVNpGPvMODBw8GStuXK8fsrNWDoppWXHHFsiirKNWGDUO2uT5/eXhnzpwZmgrGt+f1OeSj8GGUU2E11rq6uiDySvvTUSR0D8MU1jBqgIpFOskruP7667Pzzjun/C5XQrK2jlLJ6DzpYYcdVsHeRId/7lZpX2bNmhUoqH9G148D138LUdZKFnhOTsvq9+PTTz8FYLnllgPSU9LGgSmsYVQRFY8lbt++fRBJo/9qBvMzOSgeV4WlKo282spGIMXx1URpUGqN5CwMYVkhwuw+vZ5NNf248EqgbBsTJ04M0tr4hcp8ZY2z32V3Ol188cUAnHbaacFrUR6fy0UpDouwfmr7aaWVVgLcUimpjSJ6mkqxeXvLVXcmX/TQf/LJJ0VfoxxOJx33mzx5MgA9evTgnXfeUXtRN5eGOZ0MowaoeGhiuYlydlYKFS2BVD9GS+CxY8cCxW1dlEJbVFh9Rgq+UKK1YqhU9bpyYgprGLWADgxn+gckau1fJcY4cODAio2x3J9vQ0NDoqGhIe31urq6xF9KmPJvww03TGy44YZt/h6W+1/Yd9IU1jCqiNht2HzqgZaTec3+iWJ8hx9+OAA33HBD0dcoJvgh7G/mtXuYjCmsYVQRWRXWMIy2hSmsYVQRWUMTq802yCdh2rxm/9T6+CD3GOvr65l//vkBl7ImF77vpb6+PjTUMA4/jdmwhlED1GykU9iBalPY6ieOe5hJUSG/AH4/ttiPOc/2HQtTZ1NYw6gBKl7QORNhM1P//v0BePPNN3NeI6zCuWFkwle4Yk7k6HnVcTv9N5vdXKjdawprGFVEm7Rh4zwAXI5yk5U8cA1mw/pk2j3QgfptttkGgMcee6zkfoWl581my/q/S0r/azasYVQ7ZVdYvwzH3Llz+ec//wm4olJxKlSlvMQak5/2Jg7mNYXt3bt3Alxa2ThoaGhILigdWzsizEscmdMpbDm4+OKLA+4Qt2q/Kh/SAw88ENTWUYWzH3/8MapuxYKyIip9iJADQa56kUgkgup15UyHM69QyBdV1eTvvPNOwB2onzRpEuCeU93jjTfeGGit8qeat6pe8PPPPxfUzyiyP9qS2DCqiJKWxNlCAaWkqsDdr18/AP7xj38AcNVVVwFw3nnnBdXSVPksTipdl0VsuummALz00ktxtFeWJXHyasEfox8QEOWKotB7uP766wfKOmLECAC6desGuIR56r/qCC222GKAeyaluOCqLD7yyCNAPFuIFjhhGDVAbE6nJZZYAnDrfDmbtIksVU0kEsGsJrt26tSpAEFl9qWXXhqAvn37AvDee+8V261IFPa6664DXCXye++9N1ebob+Lw5Ytl8LK3lNgPcB3330HhNdJSupX0e2Wcg9VNe/oo48G4JtvvgHc8yn71K8fBG7rZ4cddlC7gFslHXTQQYBT5VK2+UxhDaMGKEphhw8fDsCuu+6a9jvNttqQvu+++wDYZ599AFh33XUBOOmkk4BWj/APP/wAtFbyBjjuuOMAN7upDunjjz8OwLhx4wAYMGAAUFhm/bZiw3bt2hWAr7/+Oo72YlHYsGelrq6O//u//wPgkksuAVLr/yajyux6TooMAczrHuq5WHTRRXn66acBV692lVVWAZz66Vk64YQTALd6+vbbbwG45557QitSCNUV0pi1UlSbhWAKaxg1QGw2rK6r+iuyaeWV00y7xhprBB482bI9evQA4K233gKch2769OmAs0MeeughwFUEb25uDjx3BxxwQFi/KhI4kU2dYmirKIXNkvQs6/tz9CWvNguh0HvYu3fvwD+iZ2uPPfYA4KijjgKcPa7+apdDHuBjjz2WG2+8MeP1pdIKTVx++eUB+Oyzz0L7FHYkL+lnU1jDqHYii3Q69dRTAVfsSgHQmtluueWWlPcNGzYs+Fspq9DMdMoppwBu9pMHTxXZpdqa4UaMGBEo6xFHHAHA9ddfX/rgSiRb0HdbopwJ+co5/uTCW/K/KPhfFei0IyFk47744osADB06lAMPPBBwhdzWXnttwD2/8s8MHDgQcFFUvpe4oaEhLSou32N2prCGUUVEHumkn6dNmwbAkksuCaR71rK1qyiUKVOmAOHpOxZYYAHA7fUeeeSRORW1EjbstGnTgtVAUruxtRe1l9i/V7Lvkvdfc/2N0H6nfwStwP5kvIcdO3YE0ouPNTY2plWE79KlC+D2Ya+88koAjj/+eMDt+avE5PDhw3nmmWcAeOWVVwBX/EzP5Zlnngm451bPp1Rc0VPZYuX1XLS0tJgNaxjVTsleYp2w0ayr0w1PPPEEkH5ypRRUZPeDDz5IeT1TvGqYgrWVfdgolCZLeyUprO7Z5ptvDrj426Rrhv6txhUWXxvFyqKYeyhfilZn8uSOHz9e10x5v2ICtE9+9tlnBxF22267LQD77rsv4Ma6wgorAG5nJJPtqtf9KCjzEhtGDRLZPqy8bl988QXgInniRDOZvMdz5swJ1Faxyj5tZR+2GmzYfL3GP/30E4suumhe762UwgoprVaEQuonX4Oi7w477DCgNYpp0KBBAKy33nqAi8C79tprAbcTInvZ39fu1KkTkF8y8zCFLfkLqwPqChdUoL6CIX755ZecnSuUZZZZBnAfqkLQOnXqFIQz+m56UYkv7GWXXRaEYia1G1t75f7CTp8+PXCwhP2Ntla01CyFYu6hPm9txbz99ttZ37/bbrsBToiuvvrqtElJz5iWtXKW6nkMC/rv1q1bqGNK2JLYMGqAkhS2qakpcJpoNpHr+qeffgLSZ1wFSGvZUAzLLbccAH/++SfggqxnzZrFiiuuCLigbZ+24nRqywqrz1XqknTdgvsSd+jlX21Efg/lFHr00UeBVgfcZpttBsALL7wAuMMpF1xwAeACfXT8UltEYdeGcBU2hTWMGqBkG1YHlrURrW0eBffnWy2sEOQg0LWlCAsuuGCw5bPqqqtm/NtKK6zviAj7ucT2ynK8LrmvlTrc8FcbOcdY7GFy9f+qq64KQhP9LSJ/jMoCqjRI+fRriy22AAiCM0xhDaMGKDn4v1evXoCbdbTVIgqZ2fJ9r2Y0tSlPW6dOndLq7oRVsSsHmVQnDiWSH0HHu+IiWx/lfR09enSsfSiWYnNd63laaaWVgs83LBhIbRxyyCGAO2iQKUmB/ANaHX711Vd59ccU1jCqiJJs2OSq1FrfK0GzvMA6MJztMG++vPzyywB8/vnnABx++OEA7L333gDceuutgUqHBYJX2oZdY401ABg7dmyc7ZU987889dojL5cX/K+2so6xT58+fPzxx0W1peepS5cuQSKFN954A4DBgwcDpB1s17OvwxFS0UIwG9YwaoDIQhM32WQTwB09CrMZttpqK8B5w5JRGFhYKg4xZMgQwAVha3+smJAv24eNpL2019qSwhZDpnQ58pXITl9zzTUBOPTQQwGX7lTPoVaCPu3atQv8Dmon6Vid2jWFNYxqJ7IUMX7JCe3PyqbR71VFXcH5yd7bHXfcEYCbb74ZcLGa8qjJnpCdrLhUzWgdO3ZMs1nbGirRUQtkSi/bFlPfFEOmVYOeMz3DF110EUBQzO3ZZ58FcidRTz5SqXbyjSIzhTWMKiLyNKdhSaUefvhhwCUJV3qNI444IjiKp70oeXiVqFzpOxRF5aeKKWSPrZw2rEoYJhdSKocClbsY1l/txNVMpnZju4eFxLprj1/pkHQCZ+jQoUBr8vG/+gcUFgtgNqxh1ACR2bDCV1bZnyqGqxQiSg05d+7coIyCklNttNFGQOu+Kriztf61C1HWMWPG5D+IiFAakjlz5gSlH0Q5D7RHTTmqyFcKX1mT74tffsQ/BK+oKBXLUjpe/1pW0Nkw5hFiK9UhRo0aBbi0GvIey07t3Llzmi0axUwURiX2YZuamtJm46T2U36O4tRO3Kd1/PtTX19f1iTkpWScyLef8jvIE/7rr78G/hn5Y3r27AnAAw88ADi/jJ7n5KRrYfgxxSLMho18SeyjL6pQCpnkD84fUDlvfjlIdjboZpbzOFq+XHrppYCrzuCjvj333HMpr7e0tLTpJX1y/uyw44xKuKDD6TJnFHI7fvz4IARWVQEkOnIuTpw4EXDpZ3Q4Rds4mUIUCw1btCWxYVQRsS+Jo0RGvTaui6FSWRPLSSWC//NFR9TiyPwfltAsE0899RQA22+/PeBWPmHbOf379+fEE08EXN0mOVLlHBWqsiiFzUbY8U/b1jGMGqBNK2yxaT2yYQpb/RR6D5OPgRaKAikSiURwDTmTpMb5VqDT+xZeeOGs9XX+as8U1jCqndgVNs4tmmIwha1+8r2HhTx7ShIub7FPck3XKJBy65pWW8cwapCsCmsYRtvCFNYwqgj7whpGFWFfWMOoIuwLaxhVhH1hDaOKsC+sYVQR/w+AtulUOJ3gkQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 2750, D: 0.239, G:0.1416\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3000, D: 0.2412, G:0.1637\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3250, D: 0.2328, G:0.1584\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3500, D: 0.2363, G:0.1594\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 3750, D: 0.2274, G:0.1785\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_LS = discriminator().type(dtype)\n",
    "G_LS = generator().type(dtype)\n",
    "\n",
    "D_LS_solver = get_optimizer(D_LS)\n",
    "G_LS_solver = get_optimizer(G_LS)\n",
    "\n",
    "run_a_gan(D_LS, G_LS, D_LS_solver, G_LS_solver, ls_discriminator_loss, ls_generator_loss)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# INLINE QUESTION 1\n",
    "Describe how the visual quality of the samples changes over the course of training. Do you notice anything about the distribution of the samples? How do the results change across different training runs?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TODO: YOUR ANSWER HERE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Deeply Convolutional GANs\n",
    "In the first part of the notebook, we implemented an almost direct copy of the original GAN network from Ian Goodfellow. However, this network architecture allows no real spatial reasoning. It is unable to reason about things like \"sharp edges\" in general because it lacks any convolutional layers. Thus, in this section, we will implement some of the ideas from [DCGAN](https://arxiv.org/abs/1511.06434), where we use convolutional networks \n",
    "\n",
    "#### Discriminator\n",
    "We will use a discriminator inspired by the TensorFlow MNIST classification tutorial, which is able to get above 99% accuracy on the MNIST dataset fairly quickly. \n",
    "* Reshape into image tensor (Use Unflatten!)\n",
    "* 32 Filters, 5x5, Stride 1, Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* 64 Filters, 5x5, Stride 1, Leaky ReLU(alpha=0.01)\n",
    "* Max Pool 2x2, Stride 2\n",
    "* Flatten\n",
    "* Fully Connected size 4 x 4 x 64, Leaky ReLU(alpha=0.01)\n",
    "* Fully Connected size 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:40:00.365909Z",
     "start_time": "2020-02-26T13:39:58.936869Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([128, 1])\n"
     ]
    }
   ],
   "source": [
    "def build_dc_classifier():\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model for the DCGAN discriminator implementing\n",
    "    the architecture above.\n",
    "    \"\"\"\n",
    "    return nn.Sequential(\n",
    "        ###########################\n",
    "        ######### TO DO ###########\n",
    "        ###########################\n",
    "        Unflatten(batch_size, 1, 28, 28),\n",
    "        nn.Conv2d(1,32,5),\n",
    "        nn.LeakyReLU(0.01),\n",
    "        nn.MaxPool2d(2),\n",
    "        nn.Conv2d(32,64,5),\n",
    "        nn.LeakyReLU(0.01),\n",
    "        nn.MaxPool2d(2),\n",
    "        Flatten(),\n",
    "        nn.Linear(4*4*64,4*4*64),\n",
    "        nn.LeakyReLU(0.01),\n",
    "        nn.Linear(4*4*64,1)\n",
    "    )\n",
    "\n",
    "data = Variable(loader_train.__iter__().next()[0]).type(dtype)\n",
    "b = build_dc_classifier().type(dtype)\n",
    "out = b(data)\n",
    "print(out.size())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "检查你的分类器参数的数量作为一个健全的检查:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:40:31.148684Z",
     "start_time": "2020-02-26T13:40:31.131716Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_classifer(true_count=1102721):\n",
    "    model = build_dc_classifier()\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_classifer()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Generator\n",
    "For the generator, we will copy the architecture exactly from the [InfoGAN paper](https://arxiv.org/pdf/1606.03657.pdf). See Appendix C.1 MNIST. See the documentation for [tf.nn.conv2d_transpose](https://www.tensorflow.org/api_docs/python/tf/nn/conv2d_transpose). We are always \"training\" in GAN mode. \n",
    "* Fully connected of size 1024, ReLU\n",
    "* BatchNorm\n",
    "* Fully connected of size 7 x 7 x 128, ReLU\n",
    "* BatchNorm\n",
    "* Reshape into Image Tensor\n",
    "* 64 conv2d^T filters of 4x4, stride 2, 'same' padding, ReLU\n",
    "* BatchNorm\n",
    "* 1 conv2d^T filter of 4x4, stride 2, 'same' padding, TanH\n",
    "* Should have a 28x28x1 image, reshape back into 784 vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:41:51.476807Z",
     "start_time": "2020-02-26T13:41:51.117951Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:22: UserWarning: nn.init.xavier_uniform is now deprecated in favor of nn.init.xavier_uniform_.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "torch.Size([128, 784])"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def build_dc_generator(noise_dim=NOISE_DIM):\n",
    "    \"\"\"\n",
    "    Build and return a PyTorch model implementing the DCGAN generator using\n",
    "    the architecture described above.\n",
    "    \"\"\"\n",
    "    return nn.Sequential(\n",
    "        \n",
    "        ###########################\n",
    "        ######### TO DO ###########\n",
    "        ###########################\n",
    "        nn.Linear(noise_dim,1024),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm1d(1024),\n",
    "        nn.Linear(1024,7*7*128),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm1d(7*7*128),\n",
    "        Unflatten(batch_size,128,7,7),\n",
    "        nn.ConvTranspose2d(128,64,4,2,1),\n",
    "        nn.ReLU(),\n",
    "        nn.BatchNorm2d(64),\n",
    "        nn.ConvTranspose2d(64,1,4,2,1),\n",
    "        nn.Tanh(),\n",
    "        Flatten()     \n",
    "    )\n",
    "\n",
    "test_g_gan = build_dc_generator().type(dtype)\n",
    "test_g_gan.apply(initialize_weights)\n",
    "\n",
    "fake_seed = Variable(torch.randn(batch_size, NOISE_DIM)).type(dtype)\n",
    "fake_images = test_g_gan.forward(fake_seed)\n",
    "fake_images.size()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check the number of parameters in your generator as a sanity check:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:42:58.299330Z",
     "start_time": "2020-02-26T13:42:58.235482Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correct number of parameters in generator.\n"
     ]
    }
   ],
   "source": [
    "def test_dc_generator(true_count=6580801):\n",
    "    model = build_dc_generator(4)\n",
    "    cur_count = count_params(model)\n",
    "    if cur_count != true_count:\n",
    "        print('Incorrect number of parameters in generator. Check your achitecture.')\n",
    "    else:\n",
    "        print('Correct number of parameters in generator.')\n",
    "\n",
    "test_dc_generator()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-02-26T13:45:30.309949Z",
     "start_time": "2020-02-26T13:43:00.078962Z"
    },
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:22: UserWarning: nn.init.xavier_uniform is now deprecated in favor of nn.init.xavier_uniform_.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iter: 0, D: 1.39, G:0.2076\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 250, D: 1.313, G:0.8587\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 500, D: 1.167, G:0.8922\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 750, D: 1.212, G:0.8128\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1000, D: 1.267, G:0.9636\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1250, D: 1.262, G:0.9616\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1500, D: 1.172, G:0.9921\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iter: 1750, D: 1.086, G:0.9951\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "D_DC = build_dc_classifier().type(dtype) \n",
    "D_DC.apply(initialize_weights)\n",
    "G_DC = build_dc_generator().type(dtype)\n",
    "G_DC.apply(initialize_weights)\n",
    "\n",
    "D_DC_solver = get_optimizer(D_DC)\n",
    "G_DC_solver = get_optimizer(G_DC)\n",
    "\n",
    "run_a_gan(D_DC, G_DC, D_DC_solver, G_DC_solver, discriminator_loss, generator_loss, num_epochs=5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# INLINE QUESTION 2\n",
    "What differences do you see between the DCGAN results and the original GAN results?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TODO: YOUR ANSWER HERE"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 额外学分\n",
    "**确保你没有破坏你的结果以上，但自由复制+粘贴代码得到结果以下**\n",
    "* 对于少量的额外积分，你可以在下面实现额外的新氮损失函数，前提是它们是收敛的。见AFI、BiGAN、Softmax GAN、Conditional GAN、InfoGAN等。\n",
    "* 同样适用于改进的架构或使用卷积GAN(甚至实现VAE)\n",
    "* 为了获得更大的额外学分，加载CIFAR10数据(见最后的作业)，并在CIFAR-10上训练一个引人注目的生成模型\n",
    "* 新事物/酷。\n",
    "#### Describe what you did here\n",
    "**TBD**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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